13957392 has 40 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 4604800.

The previous prime is 13957387. The next prime is 13957417. The reversal of 13957392 is 29375931.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13957392.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3409 + ... + 6287.

It is an arithmetic number, because the mean of its divisors is an integer number (910656).

Almost surely, 2^13957392 is an apocalyptic number.

13957392 is a gapful number since it is divisible by the number (12) 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 13957392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

13957392 is an abundant number, since it is smaller than the sum of its proper divisors (22468848).

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

13957392 is a wasteful number, since it uses less digits than its factorization.

13957392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2985 counting only the distinct ones).

The product of its digits is 51030, while the sum is 39.

The square root of 13957392 is about 3735.9593145536. The cubic root of 13957392 is about 240.7694747603.

The spelling of 13957392 in words is "thirteen million, nine hundred fifty-seven thousand, three hundred ninety-two".