113008769 has 2 divisors, whose sum is σ = 113008770. Its totient is φ = 113008768.

The previous prime is 113008739. The next prime is 113008771. The reversal of 113008769 is 967800311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109474369 + 3534400 = 10463^2 + 1880^2 .

It is a cyclic number.

It is not a de Polignac number, because 113008769 - 2¹² = 113004673 is a prime.

It is a super-2 number, since 2×113008769² = 25541963741790722, which contains 22 as substring.

Together with 113008771, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_6465536 and since 113008769 and 6465536 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (113008739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56504384 + 56504385.

It is an arithmetic number, because the mean of its divisors is an integer number (56504385).

Almost surely, 2^113008769 is an apocalyptic number.

It is an amenable number.

113008769 is a deficient number, since it is larger than the sum of its proper divisors (1).

113008769 is an equidigital number, since it uses as much as digits as its factorization.

113008769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 113008769 is about 10630.5582637978. The cubic root of 113008769 is about 483.4713181409.

The spelling of 113008769 in words is "one hundred thirteen million, eight thousand, seven hundred sixty-nine".