113967965 has 8 divisors (see below), whose sum is σ = 138635448. Its totient is φ = 89925120.

The previous prime is 113967961. The next prime is 113967977. The reversal of 113967965 is 569769311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18983449 + 94984516 = 4357^2 + 9746^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 113967965 - 2² = 113967961 is a prime.

It is a Duffinian number.

It is a Curzon number.

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 7 ways as a sum of consecutive naturals, for example, 155756 + ... + 156485.

It is an arithmetic number, because the mean of its divisors is an integer number (17329431).

Almost surely, 2^113967965 is an apocalyptic number.

It is an amenable number.

113967965 is a deficient number, since it is larger than the sum of its proper divisors (24667483).

113967965 is an equidigital number, since it uses as much as digits as its factorization.

113967965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312319.

The product of its digits is 306180, while the sum is 47.

The square root of 113967965 is about 10675.5779703021. The cubic root of 113967965 is about 484.8353357468.

The spelling of 113967965 in words is "one hundred thirteen million, nine hundred sixty-seven thousand, nine hundred sixty-five".