364213 has 2 divisors, whose sum is σ = 364214. Its totient is φ = 364212.

The previous prime is 364193. The next prime is 364223. The reversal of 364213 is 312463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209764 + 154449 = 458^2 + 393^2 .

It is a cyclic number.

It is not a de Polignac number, because 364213 - 2¹⁷ = 233141 is a prime.

It is a super-2 number, since 2×364213² = 265302218738, which contains 22 as substring.

It is the 604-th Hogben number.

364213 is a lucky number.

It is equal to p₃₁₀₇₈ and since 364213 and 31078 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (364223) by changing a digit.

It is a nontrivial repunit in base 603.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 182106 + 182107.

It is an arithmetic number, because the mean of its divisors is an integer number (182107).

2³⁶⁴²¹³ is an apocalyptic number.

It is an amenable number.

364213 is a deficient number, since it is larger than the sum of its proper divisors (1).

364213 is an equidigital number, since it uses as much as digits as its factorization.

364213 is an odious number, because the sum of its binary digits is odd.

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

The square root of 364213 is about 603.5006213750. The cubic root of 364213 is about 71.4142940988.

Adding to 364213 its reverse (312463), we get a palindrome (676676).

It can be divided in two parts, 3642 and 13, that added together give a triangular number (3655 = T₈₅).

The spelling of 364213 in words is "three hundred sixty-four thousand, two hundred thirteen".