13257104 has 40 divisors (see below), whose sum is σ = 30081408. Its totient is φ = 5541120.

The previous prime is 13257077. The next prime is 13257107. The reversal of 13257104 is 40175231.

It is a self number, because there is not a number n which added to its sum of digits gives 13257104.

It is not an unprimeable number, because it can be changed into a prime (13257107) 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, 3149 + ... + 6035.

Almost surely, 2^13257104 is an apocalyptic number.

13257104 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 13257104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15040704).

13257104 is an abundant number, since it is smaller than the sum of its proper divisors (16824304).

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

13257104 is a wasteful number, since it uses less digits than its factorization.

13257104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 13257104 is about 3641.0306233263. The cubic root of 13257104 is about 236.6734570116.

The spelling of 13257104 in words is "thirteen million, two hundred fifty-seven thousand, one hundred four".