13731630 has 32 divisors (see below), whose sum is σ = 35952768. Its totient is φ = 3328800.

The previous prime is 13731629. The next prime is 13731637. The reversal of 13731630 is 3613731.

13731630 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13731630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13731637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20476 + ... + 21135.

It is an arithmetic number, because the mean of its divisors is an integer number (1123524).

Almost surely, 2^13731630 is an apocalyptic number.

13731630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13731630 is an abundant number, since it is smaller than the sum of its proper divisors (22221138).

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

13731630 is a wasteful number, since it uses less digits than its factorization.

13731630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41632.

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 13731630 is about 3705.6214053786. The cubic root of 13731630 is about 239.4642563569.

It can be divided in two parts, 1373 and 1630, that added together give a palindrome (3003).

The spelling of 13731630 in words is "thirteen million, seven hundred thirty-one thousand, six hundred thirty".