3033 has 6 divisors (see below), whose sum is σ = 4394. Its totient is φ = 2016.

The previous prime is 3023. The next prime is 3037. The reversal of 3033 is 3303.

It can be written as a sum of positive squares in only one way, i.e., 2304 + 729 = 48^2 + 27^2 .

It is not a de Polignac number, because 3033 - 2^{5} = 3001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 337 = 3033 / (3 + 0 + 3 + 3).

It is a Duffinian number.

3033 is a modest number, since divided by 33 gives 30 as remainder.

It is a Curzon number.

It is a plaindrome in base 14.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (3037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 160 + ... + 177.

2^{3033} is an apocalyptic number.

It is an amenable number.

3033 is a deficient number, since it is larger than the sum of its proper divisors (1361).

3033 is a wasteful number, since it uses less digits than its factorization.

3033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 9.

The square root of 3033 is about 55.0726792521. The cubic root of 3033 is about 14.4751854612.

Adding to 3033 its reverse (3303), we get a palindrome (6336).

It can be divided in two parts, 303 and 3, that multiplied together give a palindrome (909).

The spelling of 3033 in words is "three thousand, thirty-three".

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