13731936 has 48 divisors (see below), whose sum is σ = 36240624. Its totient is φ = 4552704.

The previous prime is 13731931. The next prime is 13731941. The reversal of 13731936 is 63913731.

It is an interprime number because it is at equal distance from previous prime (13731931) and next prime (13731941).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 13731897 and 13731906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13731931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29820 + ... + 30276.

It is an arithmetic number, because the mean of its divisors is an integer number (755013).

Almost surely, 2^13731936 is an apocalyptic number.

13731936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13731936 is an abundant number, since it is smaller than the sum of its proper divisors (22508688).

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

13731936 is a wasteful number, since it uses less digits than its factorization.

13731936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 775 counting only the distinct ones).

The product of its digits is 10206, while the sum is 33.

The square root of 13731936 is about 3705.6626937702. The cubic root of 13731936 is about 239.4660351095.

The spelling of 13731936 in words is "thirteen million, seven hundred thirty-one thousand, nine hundred thirty-six".