825815946 has 16 divisors (see below), whose sum is σ = 1690042464. Its totient is φ = 268870224.

The previous prime is 825815933. The next prime is 825816001. The reversal of 825815946 is 649518528.

825815946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 825815895 and 825815904.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1600161 + ... + 1600676.

It is an arithmetic number, because the mean of its divisors is an integer number (105627654).

Almost surely, 2^825815946 is an apocalyptic number.

825815946 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

825815946 is an abundant number, since it is smaller than the sum of its proper divisors (864226518).

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

825815946 is a wasteful number, since it uses less digits than its factorization.

825815946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200885.

The product of its digits is 691200, while the sum is 48.

The square root of 825815946 is about 28737.0135191533. The cubic root of 825815946 is about 938.1978244127.

The spelling of 825815946 in words is "eight hundred twenty-five million, eight hundred fifteen thousand, nine hundred forty-six".