13797952 has 56 divisors (see below), whose sum is σ = 32959040. Its totient is φ = 5598720.

The previous prime is 13797947. The next prime is 13797977. The reversal of 13797952 is 25979731.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 13797899 and 13797908.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7702 + ... + 9322.

Almost surely, 2^13797952 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 13797952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479520).

13797952 is an abundant number, since it is smaller than the sum of its proper divisors (19161088).

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

13797952 is a wasteful number, since it uses less digits than its factorization.

13797952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1649 counting only the distinct ones).

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

The square root of 13797952 is about 3714.5594624397. The cubic root of 13797952 is about 239.8491644818.

It can be divided in two parts, 137 and 97952, that added together give a palindrome (98089).

The spelling of 13797952 in words is "thirteen million, seven hundred ninety-seven thousand, nine hundred fifty-two".