363321 has 24 divisors (see below), whose sum is σ = 615680. Its totient is φ = 202176.

The previous prime is 363317. The next prime is 363329. The reversal of 363321 is 123363.

It is a happy number.

It is not a de Polignac number, because 363321 - 2² = 363317 is a prime.

It is a Duffinian number.

Its product of digits (324) is a multiple of the sum of its prime divisors (162).

It is a junction number, because it is equal to n+sod(n) for n = 363294 and 363303.

It is not an unprimeable number, because it can be changed into a prime (363329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4560 + ... + 4638.

2³⁶³³²¹ is an apocalyptic number.

It is an amenable number.

363321 is a deficient number, since it is larger than the sum of its proper divisors (252359).

363321 is a wasteful number, since it uses less digits than its factorization.

363321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 162 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 363321 is about 602.7611467240. The cubic root of 363321 is about 71.3559458013.

Adding to 363321 its reverse (123363), we get a palindrome (486684).

The spelling of 363321 in words is "three hundred sixty-three thousand, three hundred twenty-one".