364312 has 32 divisors (see below), whose sum is σ = 766080. Its totient is φ = 161280.

The previous prime is 364303. The next prime is 364313. The reversal of 364312 is 213463.

364312 is nontrivially palindromic in base 15.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 364312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364313) by changing a digit.

364312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3168 + ... + 3280.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2³⁶⁴³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040).

364312 is an abundant number, since it is smaller than the sum of its proper divisors (401768).

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

364312 is a wasteful number, since it uses less digits than its factorization.

364312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 364312 is about 603.5826372586. The cubic root of 364312 is about 71.4207640991.

Adding to 364312 its reverse (213463), we get a palindrome (577775).

It can be divided in two parts, 3643 and 12, that added together give a triangular number (3655 = T₈₅).

The spelling of 364312 in words is "three hundred sixty-four thousand, three hundred twelve".