364385 has 16 divisors (see below), whose sum is σ = 518400. Its totient is φ = 240576.

The previous prime is 364379. The next prime is 364393. The reversal of 364385 is 583463.

It is not a de Polignac number, because 364385 - 2⁶ = 364321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a d-powerful number, because it can be written as 3² + 6⁶ + 3⁹ + 4⁹ + 8⁵ + 5⁵ .

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 364385.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836 + ... + 1194.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2³⁶⁴³⁸⁵ is an apocalyptic number.

364385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

364385 is a deficient number, since it is larger than the sum of its proper divisors (154015).

364385 is a wasteful number, since it uses less digits than its factorization.

364385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400.

The product of its digits is 8640, while the sum is 29.

The square root of 364385 is about 603.6431064793. The cubic root of 364385 is about 71.4255341566.

The spelling of 364385 in words is "three hundred sixty-four thousand, three hundred eighty-five".