85465809 has 36 divisors (see below), whose sum is σ = 146155828. Its totient is φ = 47805120.

The previous prime is 85465799. The next prime is 85465823. The reversal of 85465809 is 90856458.

It can be written as a sum of positive squares in 2 ways, for example, as 14653584 + 70812225 = 3828^2 + 8415^2 .

It is not a de Polignac number, because 85465809 - 2¹² = 85461713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85465879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11139 + ... + 17175.

Almost surely, 2^85465809 is an apocalyptic number.

It is an amenable number.

85465809 is a deficient number, since it is larger than the sum of its proper divisors (60690019).

85465809 is a wasteful number, since it uses less digits than its factorization.

85465809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078 (or 6064 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 85465809 is about 9244.7719820448. The cubic root of 85465809 is about 440.4846742529.

The spelling of 85465809 in words is "eighty-five million, four hundred sixty-five thousand, eight hundred nine".