111953617 has 12 divisors (see below), whose sum is σ = 116971428. Its totient is φ = 107136000.

The previous prime is 111953609. The next prime is 111953629. The reversal of 111953617 is 716359111.

It can be written as a sum of positive squares in 2 ways, for example, as 15992001 + 95961616 = 3999^2 + 9796^2 .

It is not a de Polignac number, because 111953617 - 2³ = 111953609 is a prime.

It is a super-2 number, since 2×111953617² = 25067224718765378, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111953917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92617 + ... + 93817.

It is an arithmetic number, because the mean of its divisors is an integer number (9747619).

Almost surely, 2^111953617 is an apocalyptic number.

It is an amenable number.

111953617 is a deficient number, since it is larger than the sum of its proper divisors (5017811).

111953617 is an equidigital number, since it uses as much as digits as its factorization.

111953617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1329 counting only the distinct ones).

The product of its digits is 5670, while the sum is 34.

The square root of 111953617 is about 10580.8136265601. The cubic root of 111953617 is about 481.9619022016.

The spelling of 111953617 in words is "one hundred eleven million, nine hundred fifty-three thousand, six hundred seventeen".