75857 has 4 divisors (see below), whose sum is σ = 78336. Its totient is φ = 73380.

The previous prime is 75853. The next prime is 75869.

75857 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 75857 - 2² = 75853 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1193 + ... + 1254.

It is an arithmetic number, because the mean of its divisors is an integer number (19584).

2⁷⁵⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

75857 is a deficient number, since it is larger than the sum of its proper divisors (2479).

75857 is a wasteful number, since it uses less digits than its factorization.

75857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478.

The product of its digits is 9800, while the sum is 32.

The square root of 75857 is about 275.4214951670. The cubic root of 75857 is about 42.3316523743.

The spelling of 75857 in words is "seventy-five thousand, eight hundred fifty-seven".