112949577 has 24 divisors (see below), whose sum is σ = 181763400. Its totient is φ = 67108608.

The previous prime is 112949563. The next prime is 112949579. The reversal of 112949577 is 775949211.

112949577 is a `hidden beast` number, since 11 + 29 + 49 + 577 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 111957561 = 996^2 + 10581^2 .

It is not a de Polignac number, because 112949577 - 2⁸ = 112949321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112949579) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13252 + ... + 20037.

It is an arithmetic number, because the mean of its divisors is an integer number (7573475).

Almost surely, 2^112949577 is an apocalyptic number.

It is an amenable number.

112949577 is a deficient number, since it is larger than the sum of its proper divisors (68813823).

112949577 is a wasteful number, since it uses less digits than its factorization.

112949577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33337 (or 33334 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The square root of 112949577 is about 10627.7738496827. The cubic root of 112949577 is about 483.3868921491.

It can be divided in two parts, 112949 and 577, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 112949577 in words is "one hundred twelve million, nine hundred forty-nine thousand, five hundred seventy-seven".