83157 has 8 divisors (see below), whose sum is σ = 113184. Its totient is φ = 54288.

The previous prime is 83137. The next prime is 83177. The reversal of 83157 is 75138.

It is an interprime number because it is at equal distance from previous prime (83137) and next prime (83177).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 83157 - 2⁶ = 83093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (14148).

2⁸³¹⁵⁷ is an apocalyptic number.

It is an amenable number.

83157 is a deficient number, since it is larger than the sum of its proper divisors (30027).

83157 is a wasteful number, since it uses less digits than its factorization.

83157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579.

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

The square root of 83157 is about 288.3695545650. The cubic root of 83157 is about 43.6481932101.

It can be divided in two parts, 831 and 57, that added together give a palindrome (888).

The spelling of 83157 in words is "eighty-three thousand, one hundred fifty-seven".