13757107 has 24 divisors (see below), whose sum is σ = 17655840. Its totient is φ = 10483200.

The previous prime is 13757077. The next prime is 13757111. The reversal of 13757107 is 70175731.

It is not a de Polignac number, because 13757107 - 2⁷ = 13756979 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13757407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34107 + ... + 34507.

It is an arithmetic number, because the mean of its divisors is an integer number (735660).

Almost surely, 2^13757107 is an apocalyptic number.

13757107 is a deficient number, since it is larger than the sum of its proper divisors (3898733).

13757107 is a wasteful number, since it uses less digits than its factorization.

13757107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 5145, while the sum is 31.

The square root of 13757107 is about 3709.0574274336. The cubic root of 13757107 is about 239.6122616479.

The spelling of 13757107 in words is "thirteen million, seven hundred fifty-seven thousand, one hundred seven".