85037 has 2 divisors, whose sum is σ = 85038. Its totient is φ = 85036.

The previous prime is 85027. The next prime is 85049. The reversal of 85037 is 73058.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67081 + 17956 = 259^2 + 134^2 .

It is a cyclic number.

It is not a de Polignac number, because 85037 - 2⁴ = 85021 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 8 + 5⁷ + 0 + 3⁸ + 7³ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85037.

It is not a weakly prime, because it can be changed into another prime (85027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42518 + 42519.

It is an arithmetic number, because the mean of its divisors is an integer number (42519).

2⁸⁵⁰³⁷ is an apocalyptic number.

It is an amenable number.

85037 is a deficient number, since it is larger than the sum of its proper divisors (1).

85037 is an equidigital number, since it uses as much as digits as its factorization.

85037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 85037 is about 291.6110423149. The cubic root of 85037 is about 43.9746755098.

The spelling of 85037 in words is "eighty-five thousand, thirty-seven".