85785323 has 16 divisors (see below), whose sum is σ = 99096480. Its totient is φ = 73592064.

The previous prime is 85785313. The next prime is 85785347. The reversal of 85785323 is 32358758.

85785323 = 462² + 463² + ... + 708².

It is not a de Polignac number, because 85785323 - 2²² = 81591019 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85785313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9815 + ... + 16367.

It is an arithmetic number, because the mean of its divisors is an integer number (6193530).

Almost surely, 2^85785323 is an apocalyptic number.

85785323 is a deficient number, since it is larger than the sum of its proper divisors (13311157).

85785323 is a wasteful number, since it uses less digits than its factorization.

85785323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638.

The product of its digits is 201600, while the sum is 41.

The square root of 85785323 is about 9262.0366550775. The cubic root of 85785323 is about 441.0329090711.

The spelling of 85785323 in words is "eighty-five million, seven hundred eighty-five thousand, three hundred twenty-three".