364221 has 24 divisors (see below), whose sum is σ = 620256. Its totient is φ = 203040.

The previous prime is 364213. The next prime is 364223. The reversal of 364221 is 122463.

It is a happy number.

364221 is a `hidden beast` number, since 3 + 642 + 21 = 666.

It is not a de Polignac number, because 364221 - 2³ = 364213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 364194 and 364203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364223) 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, 1146 + ... + 1428.

It is an arithmetic number, because the mean of its divisors is an integer number (25844).

2³⁶⁴²²¹ is an apocalyptic number.

It is an amenable number.

364221 is a deficient number, since it is larger than the sum of its proper divisors (256035).

364221 is a wasteful number, since it uses less digits than its factorization.

364221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 310 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 364221 is about 603.5072493351. The cubic root of 364221 is about 71.4148169706.

Adding to 364221 its reverse (122463), we get a palindrome (486684).

It can be divided in two parts, 3642 and 21, that added together give a palindrome (3663).

The spelling of 364221 in words is "three hundred sixty-four thousand, two hundred twenty-one".