64117305 has 64 divisors (see below), whose sum is σ = 137164800. Its totient is φ = 27760320.

The previous prime is 64117297. The next prime is 64117321. The reversal of 64117305 is 50371146.

64117305 is a `hidden beast` number, since 641 + 17 + 3 + 0 + 5 = 666.

It is not a de Polignac number, because 64117305 - 2³ = 64117297 is a prime.

It is a super-2 number, since 2×64117305² = 8222057600926050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16170 + ... + 19740.

It is an arithmetic number, because the mean of its divisors is an integer number (2143200).

Almost surely, 2^64117305 is an apocalyptic number.

It is an amenable number.

64117305 is an abundant number, since it is smaller than the sum of its proper divisors (73047495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64117305 is a wasteful number, since it uses less digits than its factorization.

64117305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 64117305 is about 8007.3282060872. The cubic root of 64117305 is about 400.2442362579.

The spelling of 64117305 in words is "sixty-four million, one hundred seventeen thousand, three hundred five".