13688077 has 16 divisors (see below), whose sum is σ = 15733872. Its totient is φ = 11796480.

The previous prime is 13688071. The next prime is 13688083. The reversal of 13688077 is 77088631.

13688077 is nontrivially palindromic in base 16.

13688077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13688071) and next prime (13688083).

It can be written as a sum of positive squares in 8 ways, for example, as 2223081 + 11464996 = 1491^2 + 3386^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13688077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13688071) 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, 53133 + ... + 53389.

It is an arithmetic number, because the mean of its divisors is an integer number (983367).

Almost surely, 2^13688077 is an apocalyptic number.

13688077 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13688077 is a deficient number, since it is larger than the sum of its proper divisors (2045795).

13688077 is a wasteful number, since it uses less digits than its factorization.

13688077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528.

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 13688077 is about 3699.7401260089. The cubic root of 13688077 is about 239.2108163642.

The spelling of 13688077 in words is "thirteen million, six hundred eighty-eight thousand, seventy-seven".