111264761 has 2 divisors, whose sum is σ = 111264762. Its totient is φ = 111264760.

The previous prime is 111264757. The next prime is 111264763. The reversal of 111264761 is 167462111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104939536 + 6325225 = 10244^2 + 2515^2 .

It is a cyclic number.

It is not a de Polignac number, because 111264761 - 2² = 111264757 is a prime.

It is a Sophie Germain prime.

Together with 111264763, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (111264763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55632380 + 55632381.

It is an arithmetic number, because the mean of its divisors is an integer number (55632381).

Almost surely, 2^111264761 is an apocalyptic number.

It is an amenable number.

111264761 is a deficient number, since it is larger than the sum of its proper divisors (1).

111264761 is an equidigital number, since it uses as much as digits as its factorization.

111264761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 29.

The square root of 111264761 is about 10548.2112701633. The cubic root of 111264761 is about 480.9713561866.

The spelling of 111264761 in words is "one hundred eleven million, two hundred sixty-four thousand, seven hundred sixty-one".