13800357 has 12 divisors (see below), whose sum is σ = 20022444. Its totient is φ = 9159360.

The previous prime is 13800331. The next prime is 13800359. The reversal of 13800357 is 75300831.

13800357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3048516 + 10751841 = 1746^2 + 3279^2 .

It is not a de Polignac number, because 13800357 - 2¹⁹ = 13276069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13800357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13800359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1194 + ... + 5387.

It is an arithmetic number, because the mean of its divisors is an integer number (1668537).

Almost surely, 2^13800357 is an apocalyptic number.

It is an amenable number.

13800357 is a deficient number, since it is larger than the sum of its proper divisors (6222087).

13800357 is a wasteful number, since it uses less digits than its factorization.

13800357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6820 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13800357 is about 3714.8831744753. The cubic root of 13800357 is about 239.8630990070.

The spelling of 13800357 in words is "thirteen million, eight hundred thousand, three hundred fifty-seven".