365625 has 36 divisors (see below), whose sum is σ = 710892. Its totient is φ = 180000.

The previous prime is 365611. The next prime is 365627. The reversal of 365625 is 526563.

365625 is a `hidden beast` number, since 3 + 656 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 345744 + 19881 = 588^2 + 141^2 .

It is not a de Polignac number, because 365625 - 2⁸ = 365369 is a prime.

It is a Curzon number.

It is a nialpdrome in base 5.

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 365625.

It is not an unprimeable number, because it can be changed into a prime (365627) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28119 + ... + 28131.

It is an arithmetic number, because the mean of its divisors is an integer number (19747).

2³⁶⁵⁶²⁵ is an apocalyptic number.

It is an amenable number.

365625 is a deficient number, since it is larger than the sum of its proper divisors (345267).

365625 is an equidigital number, since it uses as much as digits as its factorization.

365625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 21 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 365625 is about 604.6693311224. The cubic root of 365625 is about 71.5064626496.

It can be divided in two parts, 365 and 625, that added together give a triangular number (990 = T₄₄).

The spelling of 365625 in words is "three hundred sixty-five thousand, six hundred twenty-five".