131972085 has 96 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 59082048.

The previous prime is 131972063. The next prime is 131972143. The reversal of 131972085 is 580279131.

It is not a de Polignac number, because 131972085 - 2⁹ = 131971573 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 501664 + ... + 501926.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2^131972085 is an apocalyptic number.

131972085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131972085 is an abundant number, since it is smaller than the sum of its proper divisors (144784395).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131972085 is an equidigital number, since it uses as much as digits as its factorization.

131972085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 131972085 is about 11487.9103843998. The cubic root of 131972085 is about 509.1284422071.

The spelling of 131972085 in words is "one hundred thirty-one million, nine hundred seventy-two thousand, eighty-five".