131564 has 12 divisors (see below), whose sum is σ = 237888. Its totient is φ = 63600.

The previous prime is 131561. The next prime is 131581. The reversal of 131564 is 465131.

It is not an unprimeable number, because it can be changed into a prime (131561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 407 + ... + 654.

It is an arithmetic number, because the mean of its divisors is an integer number (19824).

2¹³¹⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

131564 is a deficient number, since it is larger than the sum of its proper divisors (106324).

131564 is a wasteful number, since it uses less digits than its factorization.

131564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1094 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 131564 is about 362.7175209443. The cubic root of 131564 is about 50.8603123532.

Adding to 131564 its reverse (465131), we get a palindrome (596695).

The spelling of 131564 in words is "one hundred thirty-one thousand, five hundred sixty-four".