13197456 has 60 divisors (see below), whose sum is σ = 37948092. Its totient is φ = 4278528.

The previous prime is 13197439. The next prime is 13197461. The reversal of 13197456 is 65479131.

13197456 is a `hidden beast` number, since 13 + 197 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9511056 + 3686400 = 3084^2 + 1920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13197456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4090 + ... + 6566.

Almost surely, 2^13197456 is an apocalyptic number.

13197456 is a gapful number since it is divisible by the number (16) 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 13197456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974046).

13197456 is an abundant number, since it is smaller than the sum of its proper divisors (24750636).

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

13197456 is a wasteful number, since it uses less digits than its factorization.

13197456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2519 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 13197456 is about 3632.8303015693. The cubic root of 13197456 is about 236.3179665035.

The spelling of 13197456 in words is "thirteen million, one hundred ninety-seven thousand, four hundred fifty-six".