113967961 has 2 divisors, whose sum is σ = 113967962. Its totient is φ = 113967960.

The previous prime is 113967929. The next prime is 113967977. The reversal of 113967961 is 169769311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89415936 + 24552025 = 9456^2 + 4955^2 .

It is a cyclic number.

It is not a de Polignac number, because 113967961 - 2⁵ = 113967929 is a prime.

It is a super-2 number, since 2×113967961² = 25977392268995042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113967901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56983980 + 56983981.

It is an arithmetic number, because the mean of its divisors is an integer number (56983981).

Almost surely, 2^113967961 is an apocalyptic number.

It is an amenable number.

113967961 is a deficient number, since it is larger than the sum of its proper divisors (1).

113967961 is an equidigital number, since it uses as much as digits as its factorization.

113967961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 61236, while the sum is 43.

The square root of 113967961 is about 10675.5777829586. The cubic root of 113967961 is about 484.8353300746.

The spelling of 113967961 in words is "one hundred thirteen million, nine hundred sixty-seven thousand, nine hundred sixty-one".