113976976 has 45 divisors (see below), whose sum is σ = 236088219. Its totient is φ = 53294592.

The previous prime is 113976923. The next prime is 113977001. The reversal of 113976976 is 679679311.

The square root of 113976976 is 10676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 767376 + 113209600 = 876^2 + 10640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 725890 + ... + 726046.

Almost surely, 2^113976976 is an apocalyptic number.

113976976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113976976 is the 10676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113976976

113976976 is an abundant number, since it is smaller than the sum of its proper divisors (122111243).

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

113976976 is an equidigital number, since it uses as much as digits as its factorization.

113976976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 176 counting only the distinct ones).

The product of its digits is 428652, while the sum is 49.

The cubic root of 113976976 is about 484.8481134195.

Multiplying 113976976 by its sum of digits (49), we get a square (5584871824 = 74732²).

The spelling of 113976976 in words is "one hundred thirteen million, nine hundred seventy-six thousand, nine hundred seventy-six".