59157 has 16 divisors (see below), whose sum is σ = 100480. Its totient is φ = 33696.

The previous prime is 59149. The next prime is 59159. The reversal of 59157 is 75195.

It is not a de Polignac number, because 59157 - 2³ = 59149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 59157.

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 59157.

It is not an unprimeable number, because it can be changed into a prime (59159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (6280).

2⁵⁹¹⁵⁷ is an apocalyptic number.

It is an amenable number.

59157 is a deficient number, since it is larger than the sum of its proper divisors (41323).

59157 is a wasteful number, since it uses less digits than its factorization.

59157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 59157 is about 243.2221207045. Note that the first 3 decimals coincide. The cubic root of 59157 is about 38.9644646728.

It can be divided in two parts, 59 and 157, that added together give a cube (216 = 6³).

The spelling of 59157 in words is "fifty-nine thousand, one hundred fifty-seven".