113967966 has 128 divisors (see below), whose sum is σ = 300810240. Its totient is φ = 27993600.

The previous prime is 113967961. The next prime is 113967977. The reversal of 113967966 is 669769311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113967961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 420411 + ... + 420681.

It is an arithmetic number, because the mean of its divisors is an integer number (2350080).

Almost surely, 2^113967966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113967966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150405120).

113967966 is an abundant number, since it is smaller than the sum of its proper divisors (186842274).

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

113967966 is a wasteful number, since it uses less digits than its factorization.

113967966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350.

The product of its digits is 367416, while the sum is 48.

The square root of 113967966 is about 10675.5780171380. The cubic root of 113967966 is about 484.8353371649.

The spelling of 113967966 in words is "one hundred thirteen million, nine hundred sixty-seven thousand, nine hundred sixty-six".