827625 has 16 divisors (see below), whose sum is σ = 1377792. Its totient is φ = 441200.

The previous prime is 827599. The next prime is 827633. The reversal of 827625 is 526728.

It is not a de Polignac number, because 827625 - 2⁸ = 827369 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 827592 and 827601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (86112).

2⁸²⁷⁶²⁵ is an apocalyptic number.

It is an amenable number.

827625 is a deficient number, since it is larger than the sum of its proper divisors (550167).

827625 is a wasteful number, since it uses less digits than its factorization.

827625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2215 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 827625 is about 909.7389735523. The cubic root of 827625 is about 93.8882404996. Note that the first 3 decimals are identical.

The spelling of 827625 in words is "eight hundred twenty-seven thousand, six hundred twenty-five".