85684329 has 6 divisors (see below), whose sum is σ = 123766266. Its totient is φ = 57122880.

The previous prime is 85684327. The next prime is 85684351. The reversal of 85684329 is 92348658.

It can be written as a sum of positive squares in only one way, i.e., 80138304 + 5546025 = 8952^2 + 2355^2 .

It is not a de Polignac number, because 85684329 - 2¹ = 85684327 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85684327) 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 5 ways as a sum of consecutive naturals, for example, 4760232 + ... + 4760249.

It is an arithmetic number, because the mean of its divisors is an integer number (20627711).

Almost surely, 2^85684329 is an apocalyptic number.

It is an amenable number.

85684329 is a deficient number, since it is larger than the sum of its proper divisors (38081937).

85684329 is a wasteful number, since it uses less digits than its factorization.

85684329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520487 (or 9520484 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 85684329 is about 9256.5830088646. The cubic root of 85684329 is about 440.8597669105.

The spelling of 85684329 in words is "eighty-five million, six hundred eighty-four thousand, three hundred twenty-nine".