57037 has 2 divisors, whose sum is σ = 57038. Its totient is φ = 57036.

The previous prime is 56999. The next prime is 57041. The reversal of 57037 is 73075.

It is the 98-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35721 + 21316 = 189^2 + 146^2 .

It is a cyclic number.

It is not a de Polignac number, because 57037 - 2⁷ = 56909 is a prime.

It is a Chen prime.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 56999 and 57017.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57037.

It is not a weakly prime, because it can be changed into another prime (57047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28518 + 28519.

It is an arithmetic number, because the mean of its divisors is an integer number (28519).

2⁵⁷⁰³⁷ is an apocalyptic number.

It is an amenable number.

57037 is a deficient number, since it is larger than the sum of its proper divisors (1).

57037 is an equidigital number, since it uses as much as digits as its factorization.

57037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 735, while the sum is 22.

The square root of 57037 is about 238.8242031286. The cubic root of 57037 is about 38.4933366778.

The spelling of 57037 in words is "fifty-seven thousand, thirty-seven".