57905 has 8 divisors (see below), whose sum is σ = 71592. Its totient is φ = 44928.

The previous prime is 57901. The next prime is 57917. The reversal of 57905 is 50975.

57905 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 2209 + 55696 = 47^2 + 236^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 57905 - 2² = 57901 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (57901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (8949).

2⁵⁷⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

57905 is a deficient number, since it is larger than the sum of its proper divisors (13687).

57905 is a wasteful number, since it uses less digits than its factorization.

57905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355.

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 57905 is about 240.6345777315. The cubic root of 57905 is about 38.6876207604.

The spelling of 57905 in words is "fifty-seven thousand, nine hundred five".