13357792 has 48 divisors (see below), whose sum is σ = 30693600. Its totient is φ = 5720064.

The previous prime is 13357789. The next prime is 13357793. The reversal of 13357792 is 29775331.

13357792 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13357792 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13357793) 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, 10368 + ... + 11584.

It is an arithmetic number, because the mean of its divisors is an integer number (639450).

Almost surely, 2^13357792 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 13357792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15346800).

13357792 is an abundant number, since it is smaller than the sum of its proper divisors (17335808).

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

13357792 is an equidigital number, since it uses as much as digits as its factorization.

13357792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1226 counting only the distinct ones).

The product of its digits is 39690, while the sum is 37.

The square root of 13357792 is about 3654.8313230572. The cubic root of 13357792 is about 237.2711265096.

The spelling of 13357792 in words is "thirteen million, three hundred fifty-seven thousand, seven hundred ninety-two".