157167 has 8 divisors (see below), whose sum is σ = 232880. Its totient is φ = 104760.

The previous prime is 157163. The next prime is 157177. The reversal of 157167 is 761751.

It is not a de Polignac number, because 157167 - 2² = 157163 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: 5821 = 157167 / (1 + 5 + 7 + 1 + 6 + 7).

It is a Duffinian number.

157167 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 157167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157163) 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, 2884 + ... + 2937.

It is an arithmetic number, because the mean of its divisors is an integer number (29110).

2¹⁵⁷¹⁶⁷ is an apocalyptic number.

157167 is a deficient number, since it is larger than the sum of its proper divisors (75713).

157167 is an equidigital number, since it uses as much as digits as its factorization.

157167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5824 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 157167 is about 396.4429341028. The cubic root of 157167 is about 53.9660280151.

It can be divided in two parts, 157 and 167, that added together give a square (324 = 18²).

The spelling of 157167 in words is "one hundred fifty-seven thousand, one hundred sixty-seven".