809325 has 48 divisors (see below), whose sum is σ = 1636800. Its totient is φ = 388800.

The previous prime is 809323. The next prime is 809339. The reversal of 809325 is 523908.

809325 = 13³ + 14³ + ... + 42³.

It is not a de Polignac number, because 809325 - 2¹ = 809323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 809325.

It is not an unprimeable number, because it can be changed into a prime (809323) 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 47 ways as a sum of consecutive naturals, for example, 7371 + ... + 7479.

It is an arithmetic number, because the mean of its divisors is an integer number (34100).

2⁸⁰⁹³²⁵ is an apocalyptic number.

It is an amenable number.

809325 is an abundant number, since it is smaller than the sum of its proper divisors (827475).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

809325 is a wasteful number, since it uses less digits than its factorization.

809325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 809325 is about 899.6249218424. The cubic root of 809325 is about 93.1910743784.

It can be divided in two parts, 8093 and 25, that added together give a palindrome (8118).

The spelling of 809325 in words is "eight hundred nine thousand, three hundred twenty-five".