13757000 has 32 divisors (see below), whose sum is σ = 32193720. Its totient is φ = 5502400.

The previous prime is 13756987. The next prime is 13757039. The reversal of 13757000 is 75731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1069156 + 12687844 = 1034^2 + 3562^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5879 + ... + 7878.

Almost surely, 2^13757000 is an apocalyptic number.

13757000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13757000 is an abundant number, since it is smaller than the sum of its proper divisors (18436720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13757000 is a wasteful number, since it uses less digits than its factorization.

13757000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13778 (or 13764 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 13757000 is about 3709.0430032557. The cubic root of 13757000 is about 239.6116404277.

The spelling of 13757000 in words is "thirteen million, seven hundred fifty-seven thousand".