85137 has 16 divisors (see below), whose sum is σ = 127680. Its totient is φ = 50112.

The previous prime is 85133. The next prime is 85147. The reversal of 85137 is 73158.

It is not a de Polignac number, because 85137 - 2² = 85133 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85137.

It is not an unprimeable number, because it can be changed into a prime (85133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1414 + ... + 1472.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2⁸⁵¹³⁷ is an apocalyptic number.

It is an amenable number.

85137 is a deficient number, since it is larger than the sum of its proper divisors (42543).

85137 is a wasteful number, since it uses less digits than its factorization.

85137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112.

The product of its digits is 840, while the sum is 24.

The square root of 85137 is about 291.7824532079. The cubic root of 85137 is about 43.9919062247.

It can be divided in two parts, 851 and 37, that added together give a palindrome (888).

The spelling of 85137 in words is "eighty-five thousand, one hundred thirty-seven".