13975792 has 40 divisors (see below), whose sum is σ = 29442560. Its totient is φ = 6402240.

The previous prime is 13975769. The next prime is 13975799. The reversal of 13975792 is 29757931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13975799) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8683 + ... + 10165.

It is an arithmetic number, because the mean of its divisors is an integer number (736064).

Almost surely, 2^13975792 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 13975792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721280).

13975792 is an abundant number, since it is smaller than the sum of its proper divisors (15466768).

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

13975792 is a wasteful number, since it uses less digits than its factorization.

13975792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1535 counting only the distinct ones).

The product of its digits is 119070, while the sum is 43.

The square root of 13975792 is about 3738.4210570774. The cubic root of 13975792 is about 240.8752302626.

It can be divided in two parts, 1 and 3975792, that added together give a palindrome (3975793).

The spelling of 13975792 in words is "thirteen million, nine hundred seventy-five thousand, seven hundred ninety-two".