13249792 has 36 divisors (see below), whose sum is σ = 26847940. Its totient is φ = 6524928.

The previous prime is 13249787. The next prime is 13249793. The reversal of 13249792 is 29794231.

It can be written as a sum of positive squares in 2 ways, for example, as 4393216 + 8856576 = 2096^2 + 2976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13249793) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18334 + ... + 19042.

Almost surely, 2^13249792 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 13249792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13423970).

13249792 is an abundant number, since it is smaller than the sum of its proper divisors (13598148).

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

13249792 is an frugal number, since it uses more digits than its factorization.

13249792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 784 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 13249792 is about 3640.0263735308. The cubic root of 13249792 is about 236.6299363307.

It can be divided in two parts, 13249 and 792, that added together give a palindrome (14041).

The spelling of 13249792 in words is "thirteen million, two hundred forty-nine thousand, seven hundred ninety-two".