821625 has 32 divisors (see below), whose sum is σ = 1567488. Its totient is φ = 374400.

The previous prime is 821603. The next prime is 821641. The reversal of 821625 is 526128.

821625 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 821625 - 2⁷ = 821497 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 821595 and 821604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2469 + ... + 2781.

It is an arithmetic number, because the mean of its divisors is an integer number (48984).

2⁸²¹⁶²⁵ is an apocalyptic number.

It is an amenable number.

821625 is a deficient number, since it is larger than the sum of its proper divisors (745863).

821625 is a wasteful number, since it uses less digits than its factorization.

821625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 821625 is about 906.4353258782. The cubic root of 821625 is about 93.6608040527.

The spelling of 821625 in words is "eight hundred twenty-one thousand, six hundred twenty-five".