75657 has 4 divisors (see below), whose sum is σ = 100880. Its totient is φ = 50436.

The previous prime is 75653. The next prime is 75659.

75657 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 not a de Polignac number, because 75657 - 2² = 75653 is a prime.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (75653) 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, 12607 + ... + 12612.

It is an arithmetic number, because the mean of its divisors is an integer number (25220).

2⁷⁵⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

75657 is a deficient number, since it is larger than the sum of its proper divisors (25223).

75657 is a wasteful number, since it uses less digits than its factorization.

75657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25222.

The product of its digits is 7350, while the sum is 30.

The square root of 75657 is about 275.0581756647. The cubic root of 75657 is about 42.2944166018.

The spelling of 75657 in words is "seventy-five thousand, six hundred fifty-seven".