85156 has 12 divisors (see below), whose sum is σ = 151900. Its totient is φ = 41760.

The previous prime is 85147. The next prime is 85159. The reversal of 85156 is 65158.

85156 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 27556 + 57600 = 166^2 + 240^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85156.

It is not an unprimeable number, because it can be changed into a prime (85159) 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 3 ways as a sum of consecutive naturals, for example, 70 + ... + 418.

2⁸⁵¹⁵⁶ is an apocalyptic number.

It is an amenable number.

85156 is a deficient number, since it is larger than the sum of its proper divisors (66744).

85156 is a wasteful number, since it uses less digits than its factorization.

85156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 412 counting only the distinct ones).

The product of its digits is 1200, while the sum is 25.

The square root of 85156 is about 291.8150098950. The cubic root of 85156 is about 43.9951785351.

The spelling of 85156 in words is "eighty-five thousand, one hundred fifty-six".