864312 has 16 divisors (see below), whose sum is σ = 2160840. Its totient is φ = 288096.

The previous prime is 864307. The next prime is 864319. The reversal of 864312 is 213468.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 36013 = 864312 / (8 + 6 + 4 + 3 + 1 + 2).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17983 + ... + 18030.

2⁸⁶⁴³¹² is an apocalyptic number.

It is an amenable number.

864312 is an abundant number, since it is smaller than the sum of its proper divisors (1296528).

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

864312 is a wasteful number, since it uses less digits than its factorization.

864312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36022 (or 36018 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 864312 is about 929.6838172196. The cubic root of 864312 is about 95.2555263015.

It can be divided in two parts, 864 and 312, that added together give a triangular number (1176 = T₄₈).

The spelling of 864312 in words is "eight hundred sixty-four thousand, three hundred twelve".