85404825 has 54 divisors (see below), whose sum is σ = 168193662. Its totient is φ = 41395200.

The previous prime is 85404811. The next prime is 85404859. The reversal of 85404825 is 52840458.

It can be written as a sum of positive squares in 3 ways, for example, as 29289744 + 56115081 = 5412^2 + 7491^2 .

It is not a de Polignac number, because 85404825 - 2⁵ = 85404793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85404825.

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 53 ways as a sum of consecutive naturals, for example, 25657 + ... + 28793.

Almost surely, 2^85404825 is an apocalyptic number.

It is an amenable number.

85404825 is a deficient number, since it is larger than the sum of its proper divisors (82788837).

85404825 is a wasteful number, since it uses less digits than its factorization.

85404825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 85404825 is about 9241.4730968607. The cubic root of 85404825 is about 440.3798802639.

The spelling of 85404825 in words is "eighty-five million, four hundred four thousand, eight hundred twenty-five".