13800753 has 32 divisors (see below), whose sum is σ = 21928320. Its totient is φ = 8547840.

The previous prime is 13800737. The next prime is 13800757. The reversal of 13800753 is 35700831.

It is not a de Polignac number, because 13800753 - 2⁴ = 13800737 is a prime.

It is a super-3 number, since 3×13800753³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13800757) 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 31 ways as a sum of consecutive naturals, for example, 48973 + ... + 49253.

It is an arithmetic number, because the mean of its divisors is an integer number (685260).

Almost surely, 2^13800753 is an apocalyptic number.

It is an amenable number.

13800753 is a deficient number, since it is larger than the sum of its proper divisors (8127567).

13800753 is a wasteful number, since it uses less digits than its factorization.

13800753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

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

The square root of 13800753 is about 3714.9364732119. The cubic root of 13800753 is about 239.8653932684.

The spelling of 13800753 in words is "thirteen million, eight hundred thousand, seven hundred fifty-three".