131964 has 24 divisors (see below), whose sum is σ = 352128. Its totient is φ = 37680.

The previous prime is 131959. The next prime is 131969. The reversal of 131964 is 469131.

131964 = 11² + 12² + ... + 73².

It is an interprime number because it is at equal distance from previous prime (131959) and next prime (131969).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 702 + ... + 869.

It is an arithmetic number, because the mean of its divisors is an integer number (14672).

2¹³¹⁹⁶⁴ is an apocalyptic number.

131964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131964 is an abundant number, since it is smaller than the sum of its proper divisors (220164).

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

131964 is a wasteful number, since it uses less digits than its factorization.

131964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1583 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 131964 is about 363.2684957439. The cubic root of 131964 is about 50.9118045090.

The spelling of 131964 in words is "one hundred thirty-one thousand, nine hundred sixty-four".