13772313 has 12 divisors (see below), whose sum is σ = 19960980. Its totient is φ = 9150336.

The previous prime is 13772309. The next prime is 13772371. The reversal of 13772313 is 31327731.

It can be written as a sum of positive squares in 2 ways, for example, as 3583449 + 10188864 = 1893^2 + 3192^2 .

It is not a de Polignac number, because 13772313 - 2² = 13772309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13772393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 373 + ... + 5261.

It is an arithmetic number, because the mean of its divisors is an integer number (1663415).

Almost surely, 2^13772313 is an apocalyptic number.

It is an amenable number.

13772313 is a deficient number, since it is larger than the sum of its proper divisors (6188667).

13772313 is a wasteful number, since it uses less digits than its factorization.

13772313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208 (or 5205 counting only the distinct ones).

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

The square root of 13772313 is about 3711.1067082476. The cubic root of 13772313 is about 239.7005118507.

The spelling of 13772313 in words is "thirteen million, seven hundred seventy-two thousand, three hundred thirteen".