112581577 has 2 divisors, whose sum is σ = 112581578. Its totient is φ = 112581576.

The previous prime is 112581533. The next prime is 112581587. The reversal of 112581577 is 775185211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110901961 + 1679616 = 10531^2 + 1296^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112581577 is a prime.

It is a super-2 number, since 2×112581577² = 25349222959613858, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112581587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56290788 + 56290789.

It is an arithmetic number, because the mean of its divisors is an integer number (56290789).

Almost surely, 2^112581577 is an apocalyptic number.

It is an amenable number.

112581577 is a deficient number, since it is larger than the sum of its proper divisors (1).

112581577 is an equidigital number, since it uses as much as digits as its factorization.

112581577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19600, while the sum is 37.

The square root of 112581577 is about 10610.4465975754. The cubic root of 112581577 is about 482.8613481513.

The spelling of 112581577 in words is "one hundred twelve million, five hundred eighty-one thousand, five hundred seventy-seven".