13905700 has 36 divisors (see below), whose sum is σ = 30353092. Its totient is φ = 5529600.

The previous prime is 13905607. The next prime is 13905707. The reversal of 13905700 is 750931.

It can be written as a sum of positive squares in 6 ways, for example, as 1557504 + 12348196 = 1248^2 + 3514^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13905707) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23812 + ... + 24388.

Almost surely, 2^13905700 is an apocalyptic number.

13905700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13905700 is an abundant number, since it is smaller than the sum of its proper divisors (16447392).

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

13905700 is a wasteful number, since it uses less digits than its factorization.

13905700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 13905700 is about 3729.0347276474. The cubic root of 13905700 is about 240.4718725524.

The spelling of 13905700 in words is "thirteen million, nine hundred five thousand, seven hundred".