13965700 has 72 divisors (see below), whose sum is σ = 35247744. Its totient is φ = 4704000.

The previous prime is 13965697. The next prime is 13965701. The reversal of 13965700 is 756931.

It is not an unprimeable number, because it can be changed into a prime (13965701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49560 + ... + 49840.

It is an arithmetic number, because the mean of its divisors is an integer number (489552).

Almost surely, 2^13965700 is an apocalyptic number.

13965700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13965700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17623872).

13965700 is an abundant number, since it is smaller than the sum of its proper divisors (21282044).

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

13965700 is a wasteful number, since it uses less digits than its factorization.

13965700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 13965700 is about 3737.0710456185. The cubic root of 13965700 is about 240.8172371704.

The spelling of 13965700 in words is "thirteen million, nine hundred sixty-five thousand, seven hundred".