13965952 has 128 divisors (see below), whose sum is σ = 37699200. Its totient is φ = 4976640.

The previous prime is 13965947. The next prime is 13965967. The reversal of 13965952 is 25956931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128074 + ... + 128182.

It is an arithmetic number, because the mean of its divisors is an integer number (294525).

Almost surely, 2^13965952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849600).

13965952 is an abundant number, since it is smaller than the sum of its proper divisors (23733248).

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

13965952 is a wasteful number, since it uses less digits than its factorization.

13965952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its digits is 72900, while the sum is 40.

The square root of 13965952 is about 3737.1047617106. The cubic root of 13965952 is about 240.8186856138.

The spelling of 13965952 in words is "thirteen million, nine hundred sixty-five thousand, nine hundred fifty-two".