157117 has 4 divisors (see below), whose sum is σ = 159840. Its totient is φ = 154396.

The previous prime is 157109. The next prime is 157127. The reversal of 157117 is 711751.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 157117 - 2³ = 157109 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1273 + ... + 1390.

It is an arithmetic number, because the mean of its divisors is an integer number (39960).

2¹⁵⁷¹¹⁷ is an apocalyptic number.

It is an amenable number.

157117 is a deficient number, since it is larger than the sum of its proper divisors (2723).

157117 is an equidigital number, since it uses as much as digits as its factorization.

157117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722.

The product of its digits is 245, while the sum is 22.

The square root of 157117 is about 396.3798683082. The cubic root of 157117 is about 53.9603046177.

Adding to 157117 its reverse (711751), we get a palindrome (868868).

The spelling of 157117 in words is "one hundred fifty-seven thousand, one hundred seventeen".