864313667 has 16 divisors (see below), whose sum is σ = 1040793600. Its totient is φ = 701161920.

The previous prime is 864313657. The next prime is 864313679. The reversal of 864313667 is 766313468.

It is a cyclic number.

It is not a de Polignac number, because 864313667 - 2¹⁴ = 864297283 is a prime.

It is a super-2 number, since 2×864313667² = 1494076229925973778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (864313657) 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, 167567 + ... + 172647.

It is an arithmetic number, because the mean of its divisors is an integer number (65049600).

Almost surely, 2^864313667 is an apocalyptic number.

864313667 is a deficient number, since it is larger than the sum of its proper divisors (176479933).

864313667 is a wasteful number, since it uses less digits than its factorization.

864313667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386.

The product of its digits is 435456, while the sum is 44.

The square root of 864313667 is about 29399.2120132496. The cubic root of 864313667 is about 952.5558754132. Note that the first 3 decimals are identical.

The spelling of 864313667 in words is "eight hundred sixty-four million, three hundred thirteen thousand, six hundred sixty-seven".