13972700 has 36 divisors (see below), whose sum is σ = 34654032. Its totient is φ = 4790400.

The previous prime is 13972681. The next prime is 13972703. The reversal of 13972700 is 727931.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13972703) 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 11 ways as a sum of consecutive naturals, for example, 9281 + ... + 10680.

It is an arithmetic number, because the mean of its divisors is an integer number (962612).

Almost surely, 2^13972700 is an apocalyptic number.

13972700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13972700 is an abundant number, since it is smaller than the sum of its proper divisors (20681332).

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

13972700 is a wasteful number, since it uses less digits than its factorization.

13972700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19982 (or 19975 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 13972700 is about 3738.0074906292. The cubic root of 13972700 is about 240.8574652314.

The spelling of 13972700 in words is "thirteen million, nine hundred seventy-two thousand, seven hundred".