864321 has 8 divisors (see below), whose sum is σ = 1180704. Its totient is φ = 562080.

The previous prime is 864319. The next prime is 864323. The reversal of 864321 is 123468.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (864319) and next prime (864323).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 864321 - 2¹ = 864319 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

864321 is a lucky number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 864291 and 864300.

It is not an unprimeable number, because it can be changed into a prime (864323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3391 + ... + 3636.

It is an arithmetic number, because the mean of its divisors is an integer number (147588).

2⁸⁶⁴³²¹ is an apocalyptic number.

It is an amenable number.

864321 is a deficient number, since it is larger than the sum of its proper divisors (316383).

864321 is a wasteful number, since it uses less digits than its factorization.

864321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7071.

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

The square root of 864321 is about 929.6886575623. The cubic root of 864321 is about 95.2558569293.

Adding to 864321 its reverse (123468), we get a palindrome (987789).

It can be divided in two parts, 8643 and 21, that multiplied together give a triangular number (181503 = T₆₀₂).

The spelling of 864321 in words is "eight hundred sixty-four thousand, three hundred twenty-one".