112782565 has 12 divisors (see below), whose sum is σ = 157435596. Its totient is φ = 77336448.

The previous prime is 112782521. The next prime is 112782587. The reversal of 112782565 is 565287211.

112782565 = T₂₁₂₁ + T₂₁₂₂ + ... + T₂₁₆₉.

It can be written as a sum of positive squares in 2 ways, for example, as 18653761 + 94128804 = 4319^2 + 9702^2 .

It is not a de Polignac number, because 112782565 - 2⁹ = 112782053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229924 + ... + 230413.

It is an arithmetic number, because the mean of its divisors is an integer number (13119633).

Almost surely, 2^112782565 is an apocalyptic number.

It is an amenable number.

112782565 is a deficient number, since it is larger than the sum of its proper divisors (44653031).

112782565 is an equidigital number, since it uses as much as digits as its factorization.

112782565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460356 (or 460349 counting only the distinct ones).

The product of its digits is 33600, while the sum is 37.

The square root of 112782565 is about 10619.9136060516. The cubic root of 112782565 is about 483.1485225526.

The spelling of 112782565 in words is "one hundred twelve million, seven hundred eighty-two thousand, five hundred sixty-five".