85737 has 4 divisors (see below), whose sum is σ = 114320. Its totient is φ = 57156.

The previous prime is 85733. The next prime is 85751. The reversal of 85737 is 73758.

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 85737 - 2² = 85733 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85737.

It is not an unprimeable number, because it can be changed into a prime (85733) 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, 14287 + ... + 14292.

It is an arithmetic number, because the mean of its divisors is an integer number (28580).

2⁸⁵⁷³⁷ is an apocalyptic number.

It is an amenable number.

85737 is a deficient number, since it is larger than the sum of its proper divisors (28583).

85737 is a wasteful number, since it uses less digits than its factorization.

85737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28582.

The product of its digits is 5880, while the sum is 30.

The square root of 85737 is about 292.8088113428. The cubic root of 85737 is about 44.0950082019.

The spelling of 85737 in words is "eighty-five thousand, seven hundred thirty-seven".