13221792 has 60 divisors (see below), whose sum is σ = 38892546. Its totient is φ = 4406400.

The previous prime is 13221781. The next prime is 13221821. The reversal of 13221792 is 29712231.

It can be written as a sum of positive squares in only one way, i.e., 13220496 + 1296 = 3636^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42 + ... + 5142.

Almost surely, 2^13221792 is an apocalyptic number.

13221792 is a gapful number since it is divisible by the number (12) 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 13221792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19446273).

13221792 is an abundant number, since it is smaller than the sum of its proper divisors (25670754).

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

13221792 is an equidigital number, since it uses as much as digits as its factorization.

13221792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5106 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 13221792 is about 3636.1782134543. The cubic root of 13221792 is about 236.4631334381.

The spelling of 13221792 in words is "thirteen million, two hundred twenty-one thousand, seven hundred ninety-two".