13773312 has 180 divisors, whose sum is σ = 46998666. Its totient is φ = 3870720.

The previous prime is 13773311. The next prime is 13773317. The reversal of 13773312 is 21337731.

It can be written as a sum of positive squares in only one way, i.e., 13660416 + 112896 = 3696^2 + 336^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13773311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225762 + ... + 225822.

Almost surely, 2^13773312 is an apocalyptic number.

13773312 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 13773312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23499333).

13773312 is an abundant number, since it is smaller than the sum of its proper divisors (33225354).

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

13773312 is an equidigital number, since it uses as much as digits as its factorization.

13773312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 13773312 is about 3711.2413017749. The cubic root of 13773312 is about 239.7063074160.

The spelling of 13773312 in words is "thirteen million, seven hundred seventy-three thousand, three hundred twelve".