157267 has 12 divisors (see below), whose sum is σ = 188136. Its totient is φ = 129920.

The previous prime is 157259. The next prime is 157271. The reversal of 157267 is 762751.

157267 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157267 - 2³ = 157259 is a prime.

It is a Duffinian number.

It is a plaindrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (157207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5409 + ... + 5437.

It is an arithmetic number, because the mean of its divisors is an integer number (15678).

2¹⁵⁷²⁶⁷ is an apocalyptic number.

157267 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

157267 is a deficient number, since it is larger than the sum of its proper divisors (30869).

157267 is a wasteful number, since it uses less digits than its factorization.

157267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its digits is 2940, while the sum is 28.

The square root of 157267 is about 396.5690356041. The cubic root of 157267 is about 53.9774711693.

It can be divided in two parts, 157 and 267, that added together give a palindrome (424).

The spelling of 157267 in words is "one hundred fifty-seven thousand, two hundred sixty-seven".