85224609 has 32 divisors (see below), whose sum is σ = 130394880. Its totient is φ = 54979200.

The previous prime is 85224599. The next prime is 85224641. The reversal of 85224609 is 90642258.

It is a happy number.

It is not a de Polignac number, because 85224609 - 2⁵ = 85224577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85224679) 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 31 ways as a sum of consecutive naturals, for example, 184639 + ... + 185099.

It is an arithmetic number, because the mean of its divisors is an integer number (4074840).

Almost surely, 2^85224609 is an apocalyptic number.

It is an amenable number.

85224609 is a deficient number, since it is larger than the sum of its proper divisors (45170271).

85224609 is a wasteful number, since it uses less digits than its factorization.

85224609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85224609 is about 9231.7175541716. The cubic root of 85224609 is about 440.0699079694.

It can be divided in two parts, 8522 and 4609, that added together give a palindrome (13131).

The spelling of 85224609 in words is "eighty-five million, two hundred twenty-four thousand, six hundred nine".