820625823 has 32 divisors (see below), whose sum is σ = 1243041280. Its totient is φ = 541623672.

The previous prime is 820625821. The next prime is 820625833. The reversal of 820625823 is 328526028.

820625823 is a `hidden beast` number, since 8 + 2 + 0 + 625 + 8 + 23 = 666.

It is not a de Polignac number, because 820625823 - 2¹ = 820625821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820625821) 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, 223440 + ... + 227082.

It is an arithmetic number, because the mean of its divisors is an integer number (38845040).

Almost surely, 2^820625823 is an apocalyptic number.

820625823 is a deficient number, since it is larger than the sum of its proper divisors (422415457).

820625823 is an equidigital number, since it uses as much as digits as its factorization.

820625823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 820625823 is about 28646.5673859888. The cubic root of 820625823 is about 936.2282172801.

The spelling of 820625823 in words is "eight hundred twenty million, six hundred twenty-five thousand, eight hundred twenty-three".