57917 has 2 divisors, whose sum is σ = 57918. Its totient is φ = 57916.

The previous prime is 57901. The next prime is 57923. The reversal of 57917 is 71975.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52441 + 5476 = 229^2 + 74^2 .

It is a cyclic number.

It is not a de Polignac number, because 57917 - 2⁴ = 57901 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57917.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28958 + 28959.

It is an arithmetic number, because the mean of its divisors is an integer number (28959).

2⁵⁷⁹¹⁷ is an apocalyptic number.

It is an amenable number.

57917 is a deficient number, since it is larger than the sum of its proper divisors (1).

57917 is an equidigital number, since it uses as much as digits as its factorization.

57917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2205, while the sum is 29.

The square root of 57917 is about 240.6595105123. The cubic root of 57917 is about 38.6902930650.

The spelling of 57917 in words is "fifty-seven thousand, nine hundred seventeen".