365505 has 24 divisors (see below), whose sum is σ = 679872. Its totient is φ = 164256.

The previous prime is 365489. The next prime is 365507. The reversal of 365505 is 505563.

It is not a de Polignac number, because 365505 - 2⁴ = 365489 is a prime.

365505 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365505.

It is not an unprimeable number, because it can be changed into a prime (365507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6166 + ... + 6224.

It is an arithmetic number, because the mean of its divisors is an integer number (28328).

2³⁶⁵⁵⁰⁵ is an apocalyptic number.

365505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

365505 is a deficient number, since it is larger than the sum of its proper divisors (314367).

365505 is an equidigital number, since it uses as much as digits as its factorization.

365505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 365505 is about 604.5700951916. The cubic root of 365505 is about 71.4986388643.

The spelling of 365505 in words is "three hundred sixty-five thousand, five hundred five".