8100825 has 12 divisors (see below), whose sum is σ = 13393488. Its totient is φ = 4320400.

The previous prime is 8100811. The next prime is 8100871. The reversal of 8100825 is 5280018.

It is not a de Polignac number, because 8100825 - 2⁵ = 8100793 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8100795 and 8100804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53931 + ... + 54080.

It is an arithmetic number, because the mean of its divisors is an integer number (1116124).

Almost surely, 2^8100825 is an apocalyptic number.

It is an amenable number.

8100825 is a deficient number, since it is larger than the sum of its proper divisors (5292663).

8100825 is a wasteful number, since it uses less digits than its factorization.

8100825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108024 (or 108019 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 8100825 is about 2846.1948281873. The cubic root of 8100825 is about 200.8367030917.

The spelling of 8100825 in words is "eight million, one hundred thousand, eight hundred twenty-five".