131967583 has 32 divisors (see below), whose sum is σ = 161989632. Its totient is φ = 106022400.

The previous prime is 131967569. The next prime is 131967599. The reversal of 131967583 is 385769131.

It is not a de Polignac number, because 131967583 - 2⁵ = 131967551 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131967523) 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 31 ways as a sum of consecutive naturals, for example, 262110 + ... + 262612.

It is an arithmetic number, because the mean of its divisors is an integer number (5062176).

Almost surely, 2^131967583 is an apocalyptic number.

131967583 is a deficient number, since it is larger than the sum of its proper divisors (30022049).

131967583 is a wasteful number, since it uses less digits than its factorization.

131967583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615.

The product of its digits is 136080, while the sum is 43.

The square root of 131967583 is about 11487.7144376068. The cubic root of 131967583 is about 509.1226527951.

The spelling of 131967583 in words is "one hundred thirty-one million, nine hundred sixty-seven thousand, five hundred eighty-three".