13757085 has 24 divisors (see below), whose sum is σ = 23946624. Its totient is φ = 7306080.

The previous prime is 13757077. The next prime is 13757111. The reversal of 13757085 is 58075731.

13757085 is a `hidden beast` number, since 1 + 3 + 7 + 570 + 85 = 666.

It is not a de Polignac number, because 13757085 - 2³ = 13757077 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13504 + ... + 14486.

It is an arithmetic number, because the mean of its divisors is an integer number (997776).

Almost surely, 2^13757085 is an apocalyptic number.

13757085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13757085 is a deficient number, since it is larger than the sum of its proper divisors (10189539).

13757085 is a wasteful number, since it uses less digits than its factorization.

13757085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 13757085 is about 3709.0544617193. The cubic root of 13757085 is about 239.6121339206.

The spelling of 13757085 in words is "thirteen million, seven hundred fifty-seven thousand, eighty-five".