111964961 has 2 divisors, whose sum is σ = 111964962. Its totient is φ = 111964960.

The previous prime is 111964933. The next prime is 111964987. The reversal of 111964961 is 169469111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111936400 + 28561 = 10580^2 + 169^2 .

It is a cyclic number.

It is not a de Polignac number, because 111964961 - 2¹⁰ = 111963937 is a prime.

It is not a weakly prime, because it can be changed into another prime (111964921) 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, 55982480 + 55982481.

It is an arithmetic number, because the mean of its divisors is an integer number (55982481).

Almost surely, 2^111964961 is an apocalyptic number.

It is an amenable number.

111964961 is a deficient number, since it is larger than the sum of its proper divisors (1).

111964961 is an equidigital number, since it uses as much as digits as its factorization.

111964961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 38.

The square root of 111964961 is about 10581.3496776167. The cubic root of 111964961 is about 481.9781803452.

The spelling of 111964961 in words is "one hundred eleven million, nine hundred sixty-four thousand, nine hundred sixty-one".