112904627 has 16 divisors (see below), whose sum is σ = 130394880. Its totient is φ = 96784800.

The previous prime is 112904621. The next prime is 112904657. The reversal of 112904627 is 726409211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 112904627 - 2¹⁰ = 112903603 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112904593 and 112904602.

It is not an unprimeable number, because it can be changed into a prime (112904621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9602 + ... + 17832.

It is an arithmetic number, because the mean of its divisors is an integer number (8149680).

Almost surely, 2^112904627 is an apocalyptic number.

112904627 is a deficient number, since it is larger than the sum of its proper divisors (17490253).

112904627 is a wasteful number, since it uses less digits than its factorization.

112904627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8314.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 112904627 is about 10625.6588972167. The cubic root of 112904627 is about 483.3227599220.

The spelling of 112904627 in words is "one hundred twelve million, nine hundred four thousand, six hundred twenty-seven".