365805 has 24 divisors (see below), whose sum is σ = 692640. Its totient is φ = 177120.

The previous prime is 365797. The next prime is 365809. The reversal of 365805 is 508563.

365805 is a `hidden beast` number, since 3 + 658 + 0 + 5 = 666.

It is not a de Polignac number, because 365805 - 2³ = 365797 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365809) by changing a digit.

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 in 23 ways as a sum of consecutive naturals, for example, 126 + ... + 864.

It is an arithmetic number, because the mean of its divisors is an integer number (28860).

2³⁶⁵⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

365805 is a deficient number, since it is larger than the sum of its proper divisors (326835).

365805 is a wasteful number, since it uses less digits than its factorization.

365805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 365805 is about 604.8181544894. The cubic root of 365805 is about 71.5181951183.

It can be divided in two parts, 36580 and 5, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 365805 in words is "three hundred sixty-five thousand, eight hundred five".