13097152 has 28 divisors (see below), whose sum is σ = 26234136. Its totient is φ = 6487040.

The previous prime is 13097141. The next prime is 13097153. The reversal of 13097152 is 25179031.

It is a super-2 number, since 2×13097152² = 343070781022208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) 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 13097152.

It is not an unprimeable number, because it can be changed into a prime (13097153) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6327 + ... + 8137.

Almost surely, 2^13097152 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 13097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117068).

13097152 is an abundant number, since it is smaller than the sum of its proper divisors (13136984).

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

13097152 is a wasteful number, since it uses less digits than its factorization.

13097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 13097152 is about 3618.9987565624. The cubic root of 13097152 is about 235.7177512456.

The spelling of 13097152 in words is "thirteen million, ninety-seven thousand, one hundred fifty-two".