131971167 has 16 divisors (see below), whose sum is σ = 195708000. Its totient is φ = 87892992.

The previous prime is 131971117. The next prime is 131971183. The reversal of 131971167 is 761179131.

It is not a de Polignac number, because 131971167 - 2¹² = 131967071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131971117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36309 + ... + 39777.

It is an arithmetic number, because the mean of its divisors is an integer number (12231750).

Almost surely, 2^131971167 is an apocalyptic number.

131971167 is a deficient number, since it is larger than the sum of its proper divisors (63736833).

131971167 is a wasteful number, since it uses less digits than its factorization.

131971167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4881 counting only the distinct ones).

The product of its digits is 7938, while the sum is 36.

The square root of 131971167 is about 11487.8704292832. The cubic root of 131971167 is about 509.1272617024.

The spelling of 131971167 in words is "one hundred thirty-one million, nine hundred seventy-one thousand, one hundred sixty-seven".