90800825 has 12 divisors (see below), whose sum is σ = 119216700. Its totient is φ = 68367360.

The previous prime is 90800813. The next prime is 90800861. The reversal of 90800825 is 52800809.

It can be written as a sum of positive squares in 6 ways, for example, as 94249 + 90706576 = 307^2 + 9524^2 .

It is not a de Polignac number, because 90800825 - 2¹² = 90796729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90800791 and 90800800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106400 + ... + 107249.

It is an arithmetic number, because the mean of its divisors is an integer number (9934725).

Almost surely, 2^90800825 is an apocalyptic number.

It is an amenable number.

90800825 is a deficient number, since it is larger than the sum of its proper divisors (28415875).

90800825 is a wasteful number, since it uses less digits than its factorization.

90800825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213676 (or 213671 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 90800825 is about 9528.9466889053. The cubic root of 90800825 is about 449.4657445655.

The spelling of 90800825 in words is "ninety million, eight hundred thousand, eight hundred twenty-five".