13977936 has 120 divisors (see below), whose sum is σ = 45780800. Its totient is φ = 3979584.

The previous prime is 13977923. The next prime is 13977949. The reversal of 13977936 is 63977931.

It is an interprime number because it is at equal distance from previous prime (13977923) and next prime (13977949).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13977891 and 13977900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49251 + ... + 49533.

Almost surely, 2^13977936 is an apocalyptic number.

13977936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13977936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22890400).

13977936 is an abundant number, since it is smaller than the sum of its proper divisors (31802864).

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

13977936 is a wasteful number, since it uses less digits than its factorization.

13977936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 295 counting only the distinct ones).

The product of its digits is 214326, while the sum is 45.

The square root of 13977936 is about 3738.7077981570. The cubic root of 13977936 is about 240.8875470384.

The spelling of 13977936 in words is "thirteen million, nine hundred seventy-seven thousand, nine hundred thirty-six".