157882167 has 12 divisors (see below), whose sum is σ = 228775560. Its totient is φ = 104920848.

The previous prime is 157882139. The next prime is 157882169. The reversal of 157882167 is 761288751.

It is a happy number.

It is not a de Polignac number, because 157882167 - 2¹⁴ = 157865783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157882169) 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, 24817 + ... + 30522.

It is an arithmetic number, because the mean of its divisors is an integer number (19064630).

Almost surely, 2^157882167 is an apocalyptic number.

157882167 is a deficient number, since it is larger than the sum of its proper divisors (70893393).

157882167 is a wasteful number, since it uses less digits than its factorization.

157882167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55662 (or 55659 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The square root of 157882167 is about 12565.1170706842. The cubic root of 157882167 is about 540.4775918825.

It can be divided in two parts, 15788 and 2167, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 157882167 in words is "one hundred fifty-seven million, eight hundred eighty-two thousand, one hundred sixty-seven".