117416585 has 24 divisors (see below), whose sum is σ = 166797960. Its totient is φ = 78819840.

The previous prime is 117416581. The next prime is 117416609. The reversal of 117416585 is 585614711.

117416585 = 378² + 379² + ... + 740².

It can be written as a sum of positive squares in 4 ways, for example, as 12313081 + 105103504 = 3509^2 + 10252^2 .

It is not a de Polignac number, because 117416585 - 2² = 117416581 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (117416581) 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, 401 + ... + 15329.

It is an arithmetic number, because the mean of its divisors is an integer number (6949915).

Almost surely, 2^117416585 is an apocalyptic number.

It is an amenable number.

117416585 is a deficient number, since it is larger than the sum of its proper divisors (49381375).

117416585 is a wasteful number, since it uses less digits than its factorization.

117416585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14969 (or 14958 counting only the distinct ones).

The product of its digits is 33600, while the sum is 38.

The square root of 117416585 is about 10835.8933641855. The cubic root of 117416585 is about 489.6771231250.

The spelling of 117416585 in words is "one hundred seventeen million, four hundred sixteen thousand, five hundred eighty-five".