13677313 has 16 divisors (see below), whose sum is σ = 15353856. Its totient is φ = 12101760.

The previous prime is 13677289. The next prime is 13677337. The reversal of 13677313 is 31377631.

It is an interprime number because it is at equal distance from previous prime (13677289) and next prime (13677337).

It is a cyclic number.

It is not a de Polignac number, because 13677313 - 2²¹ = 11580161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13674313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35520 + ... + 35902.

It is an arithmetic number, because the mean of its divisors is an integer number (959616).

Almost surely, 2^13677313 is an apocalyptic number.

13677313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13677313 is a deficient number, since it is larger than the sum of its proper divisors (1676543).

13677313 is a wasteful number, since it uses less digits than its factorization.

13677313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504.

The product of its digits is 7938, while the sum is 31.

The square root of 13677313 is about 3698.2851431440. The cubic root of 13677313 is about 239.1480965616.

The spelling of 13677313 in words is "thirteen million, six hundred seventy-seven thousand, three hundred thirteen".