85937 has 4 divisors (see below), whose sum is σ = 90480. Its totient is φ = 81396.

The previous prime is 85933. The next prime is 85991. The reversal of 85937 is 73958.

Added to its reverse (73958) it gives a triangular number (159895 = T₅₆₅).

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, and also an emirpimes, since its reverse is a distinct semiprime: 73958 = 2 ⋅36979.

It is not a de Polignac number, because 85937 - 2² = 85933 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85931) 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, 2243 + ... + 2280.

It is an arithmetic number, because the mean of its divisors is an integer number (22620).

2⁸⁵⁹³⁷ is an apocalyptic number.

It is an amenable number.

85937 is a deficient number, since it is larger than the sum of its proper divisors (4543).

85937 is a wasteful number, since it uses less digits than its factorization.

85937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542.

The product of its digits is 7560, while the sum is 32.

The square root of 85937 is about 293.1501321849. The cubic root of 85937 is about 44.1292686072.

Subtracting from 85937 its sum of digits (32), we obtain a triangular number (85905 = T₄₁₄).

Adding to 85937 its reverse (73958), we get a triangular number (159895 = T₅₆₅).

The spelling of 85937 in words is "eighty-five thousand, nine hundred thirty-seven".