809625 has 32 divisors (see below), whose sum is σ = 1437696. Its totient is φ = 403200.

The previous prime is 809603. The next prime is 809629. The reversal of 809625 is 526908.

809625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 809625 - 2¹⁰ = 808601 is a prime.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 809592 and 809601.

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 809625.

It is not an unprimeable number, because it can be changed into a prime (809629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6312 + ... + 6438.

It is an arithmetic number, because the mean of its divisors is an integer number (44928).

2⁸⁰⁹⁶²⁵ is an apocalyptic number.

809625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

809625 is a deficient number, since it is larger than the sum of its proper divisors (628071).

809625 is a wasteful number, since it uses less digits than its factorization.

809625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 809625 is about 899.7916425484. The cubic root of 809625 is about 93.2025876224.

The spelling of 809625 in words is "eight hundred nine thousand, six hundred twenty-five".