85786309 has 12 divisors (see below), whose sum is σ = 102228588. Its totient is φ = 71736000.

The previous prime is 85786279. The next prime is 85786319. The reversal of 85786309 is 90368758.

It can be written as a sum of positive squares in 2 ways, for example, as 41563809 + 44222500 = 6447^2 + 6650^2 .

It is not a de Polignac number, because 85786309 - 2¹⁵ = 85753541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85786319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19342 + ... + 23359.

It is an arithmetic number, because the mean of its divisors is an integer number (8519049).

Almost surely, 2^85786309 is an apocalyptic number.

It is an amenable number.

85786309 is a deficient number, since it is larger than the sum of its proper divisors (16442279).

85786309 is a wasteful number, since it uses less digits than its factorization.

85786309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42756 (or 42749 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 85786309 is about 9262.0898829584. The cubic root of 85786309 is about 441.0345987804.

The spelling of 85786309 in words is "eighty-five million, seven hundred eighty-six thousand, three hundred nine".