131872167 has 24 divisors (see below), whose sum is σ = 218293920. Its totient is φ = 75147840.

The previous prime is 131872163. The next prime is 131872183. The reversal of 131872167 is 761278131.

It is not a de Polignac number, because 131872167 - 2² = 131872163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131872163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21817 + ... + 27197.

It is an arithmetic number, because the mean of its divisors is an integer number (9095580).

Almost surely, 2^131872167 is an apocalyptic number.

131872167 is a deficient number, since it is larger than the sum of its proper divisors (86421753).

131872167 is a wasteful number, since it uses less digits than its factorization.

131872167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5780 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 131872167 is about 11483.5607282759. The cubic root of 131872167 is about 508.9999202309. Note that the first 4 decimals are identical.

The spelling of 131872167 in words is "one hundred thirty-one million, eight hundred seventy-two thousand, one hundred sixty-seven".