13257384 has 128 divisors (see below), whose sum is σ = 40919040. Its totient is φ = 3497472.

The previous prime is 13257329. The next prime is 13257389. The reversal of 13257384 is 48375231.

It is not an unprimeable number, because it can be changed into a prime (13257389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181572 + ... + 181644.

It is an arithmetic number, because the mean of its divisors is an integer number (319680).

Almost surely, 2^13257384 is an apocalyptic number.

13257384 is a gapful number since it is divisible by the number (14) 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 13257384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20459520).

13257384 is an abundant number, since it is smaller than the sum of its proper divisors (27661656).

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

13257384 is a wasteful number, since it uses less digits than its factorization.

13257384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 13257384 is about 3641.0690737749. The cubic root of 13257384 is about 236.6751232403.

The spelling of 13257384 in words is "thirteen million, two hundred fifty-seven thousand, three hundred eighty-four".