85113 has 18 divisors (see below), whose sum is σ = 143754. Its totient is φ = 48384.

The previous prime is 85109. The next prime is 85121. The reversal of 85113 is 31158.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 21609 = 252^2 + 147^2 .

It is not a de Polignac number, because 85113 - 2² = 85109 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 345 + ... + 537.

2⁸⁵¹¹³ is an apocalyptic number.

It is an amenable number.

85113 is a deficient number, since it is larger than the sum of its proper divisors (58641).

85113 is a wasteful number, since it uses less digits than its factorization.

85113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 85113 is about 291.7413237784. The cubic root of 85113 is about 43.9877720842.

It can be divided in two parts, 8 and 5113, that multiplied together give a palindrome (40904).

The spelling of 85113 in words is "eighty-five thousand, one hundred thirteen".