85507009 has 9 divisors (see below), whose sum is σ = 99542691. Its totient is φ = 73236240.

The previous prime is 85507007. The next prime is 85507013. The reversal of 85507009 is 90070558.

The square root of 85507009 is 9247.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 79156609 + 6350400 = 8897^2 + 2520^2 .

It is not a de Polignac number, because 85507009 - 2¹ = 85507007 is a prime.

It is a super-2 number, since 2×85507009² = 14622897176252162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85507001) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 64069 + ... + 65389.

It is an arithmetic number, because the mean of its divisors is an integer number (11060299).

Almost surely, 2^85507009 is an apocalyptic number.

85507009 is the 9247-th square number.

85507009 is the 4624-th centered octagonal number.

It is an amenable number.

85507009 is a deficient number, since it is larger than the sum of its proper divisors (14035682).

85507009 is an frugal number, since it uses more digits than its factorization.

85507009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The cubic root of 85507009 is about 440.5554435013. Note that the first 3 decimals are identical.

The spelling of 85507009 in words is "eighty-five million, five hundred seven thousand, nine".