57105985 has 8 divisors (see below), whose sum is σ = 70379496. Its totient is φ = 44449920.

The previous prime is 57105977. The next prime is 57106031. The reversal of 57105985 is 58950175.

57105985 = 5343² + 5344².

It can be written as a sum of positive squares in 4 ways, for example, as 11029041 + 46076944 = 3321^2 + 6788^2 .

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

It is not a de Polignac number, because 57105985 - 2³ = 57105977 is a prime.

It is a super-2 number, since 2×57105985² = 6522187045640450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154156 + ... + 154525.

It is an arithmetic number, because the mean of its divisors is an integer number (8797437).

Almost surely, 2^57105985 is an apocalyptic number.

57105985 is the 5344-th centered square number.

It is an amenable number.

57105985 is a deficient number, since it is larger than the sum of its proper divisors (13273511).

57105985 is a wasteful number, since it uses less digits than its factorization.

57105985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308723.

The product of its (nonzero) digits is 63000, while the sum is 40.

The square root of 57105985 is about 7556.8502036232. The cubic root of 57105985 is about 385.0884937411.

The spelling of 57105985 in words is "fifty-seven million, one hundred five thousand, nine hundred eighty-five".