364289 has 2 divisors, whose sum is σ = 364290. Its totient is φ = 364288.

The previous prime is 364271. The next prime is 364291. The reversal of 364289 is 982463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336400 + 27889 = 580^2 + 167^2 .

It is a cyclic number.

It is not a de Polignac number, because 364289 - 2¹² = 360193 is a prime.

It is a Sophie Germain prime.

Together with 364291, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364289.

It is not a weakly prime, because it can be changed into another prime (360289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 182144 + 182145.

It is an arithmetic number, because the mean of its divisors is an integer number (182145).

2³⁶⁴²⁸⁹ is an apocalyptic number.

It is an amenable number.

364289 is a deficient number, since it is larger than the sum of its proper divisors (1).

364289 is an equidigital number, since it uses as much as digits as its factorization.

364289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10368, while the sum is 32.

The square root of 364289 is about 603.5635840572. The cubic root of 364289 is about 71.4192610722.

The spelling of 364289 in words is "three hundred sixty-four thousand, two hundred eighty-nine".