57033 has 6 divisors (see below), whose sum is σ = 82394. Its totient is φ = 38016.

The previous prime is 56999. The next prime is 57037. The reversal of 57033 is 33075.

It can be written as a sum of positive squares in only one way, i.e., 45369 + 11664 = 213^2 + 108^2 .

It is not a de Polignac number, because 57033 - 2¹⁰ = 56009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 56997 and 57015.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57033.

It is not an unprimeable number, because it can be changed into a prime (57037) 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, 3160 + ... + 3177.

2⁵⁷⁰³³ is an apocalyptic number.

It is an amenable number.

57033 is a deficient number, since it is larger than the sum of its proper divisors (25361).

57033 is a wasteful number, since it uses less digits than its factorization.

57033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 57033 is about 238.8158286211. The cubic root of 57033 is about 38.4924368120.

The spelling of 57033 in words is "fifty-seven thousand, thirty-three".