364349 has 2 divisors, whose sum is σ = 364350. Its totient is φ = 364348.

The previous prime is 364337. The next prime is 364373. The reversal of 364349 is 943463.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196249 + 168100 = 443^2 + 410^2 .

It is a cyclic number.

It is not a de Polignac number, because 364349 - 2⁴ = 364333 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364349.

It is not a weakly prime, because it can be changed into another prime (364379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 182174 + 182175.

It is an arithmetic number, because the mean of its divisors is an integer number (182175).

2³⁶⁴³⁴⁹ is an apocalyptic number.

It is an amenable number.

364349 is a deficient number, since it is larger than the sum of its proper divisors (1).

364349 is an equidigital number, since it uses as much as digits as its factorization.

364349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7776, while the sum is 29.

The square root of 364349 is about 603.6132867988. The cubic root of 364349 is about 71.4231818791.

The spelling of 364349 in words is "three hundred sixty-four thousand, three hundred forty-nine".