113964 has 12 divisors (see below), whose sum is σ = 265944. Its totient is φ = 37984.

The previous prime is 113963. The next prime is 113969. The reversal of 113964 is 469311.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (113963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4737 + ... + 4760.

It is an arithmetic number, because the mean of its divisors is an integer number (22162).

2¹¹³⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

113964 is an abundant number, since it is smaller than the sum of its proper divisors (151980).

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

113964 is a wasteful number, since it uses less digits than its factorization.

113964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9504 (or 9502 counting only the distinct ones).

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

The square root of 113964 is about 337.5855447142. The cubic root of 113964 is about 48.4829713131.

The spelling of 113964 in words is "one hundred thirteen thousand, nine hundred sixty-four".