864357 has 16 divisors (see below), whose sum is σ = 1276800. Its totient is φ = 516672.

The previous prime is 864341. The next prime is 864359. The reversal of 864357 is 753468.

It is not a de Polignac number, because 864357 - 2⁴ = 864341 is a prime.

It is a super-2 number, since 2×864357² = 1494226046898, which contains 22 as substring.

It is a d-powerful number, because it can be written as 8⁵ + 6⁴ + 3⁸ + 4³ + 5³ + 7⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864359) 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, 1144 + ... + 1742.

It is an arithmetic number, because the mean of its divisors is an integer number (79800).

2⁸⁶⁴³⁵⁷ is an apocalyptic number.

It is an amenable number.

864357 is a deficient number, since it is larger than the sum of its proper divisors (412443).

864357 is a wasteful number, since it uses less digits than its factorization.

864357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652.

The product of its digits is 20160, while the sum is 33.

The square root of 864357 is about 929.7080186811. The cubic root of 864357 is about 95.2571794176.

Subtracting from 864357 its reverse (753468), we obtain a square (110889 = 333²).

It can be divided in two parts, 864 and 357, that added together give a palindrome (1221).

The spelling of 864357 in words is "eight hundred sixty-four thousand, three hundred fifty-seven".