86157 has 8 divisors (see below), whose sum is σ = 127680. Its totient is φ = 57420.

The previous prime is 86143. The next prime is 86161. The reversal of 86157 is 75168.

It is not a de Polignac number, because 86157 - 2⁷ = 86029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3191 = 86157 / (8 + 6 + 1 + 5 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 86157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86117) 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 7 ways as a sum of consecutive naturals, for example, 1569 + ... + 1622.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2⁸⁶¹⁵⁷ is an apocalyptic number.

It is an amenable number.

86157 is a deficient number, since it is larger than the sum of its proper divisors (41523).

86157 is a wasteful number, since it uses less digits than its factorization.

86157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3194 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 86157 is about 293.5251266928. The cubic root of 86157 is about 44.1668937135.

It can be divided in two parts, 86 and 157, that added together give a 5-th power (243 = 3⁵).

The spelling of 86157 in words is "eighty-six thousand, one hundred fifty-seven".