13972968 has 24 divisors (see below), whose sum is σ = 37843650. Its totient is φ = 4657632.

The previous prime is 13972951. The next prime is 13972969. The reversal of 13972968 is 86927931.

It can be written as a sum of positive squares in only one way, i.e., 13972644 + 324 = 3738^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (13972969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96963 + ... + 97106.

Almost surely, 2^13972968 is an apocalyptic number.

13972968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13972968 is an abundant number, since it is smaller than the sum of its proper divisors (23870682).

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

13972968 is a wasteful number, since it uses less digits than its factorization.

13972968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194081 (or 194074 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 13972968 is about 3738.0433384326. The cubic root of 13972968 is about 240.8590051244.

The spelling of 13972968 in words is "thirteen million, nine hundred seventy-two thousand, nine hundred sixty-eight".