85117329 has 36 divisors (see below), whose sum is σ = 138098688. Its totient is φ = 50458320.

The previous prime is 85117303. The next prime is 85117433. The reversal of 85117329 is 92371158.

It is not a de Polignac number, because 85117329 - 2⁸ = 85117073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85117293 and 85117302.

It is not an unprimeable number, because it can be changed into a prime (85119329) 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 35 ways as a sum of consecutive naturals, for example, 50352 + ... + 52014.

Almost surely, 2^85117329 is an apocalyptic number.

It is an amenable number.

85117329 is a deficient number, since it is larger than the sum of its proper divisors (52981359).

85117329 is a wasteful number, since it uses less digits than its factorization.

85117329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1724 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 85117329 is about 9225.9053214305. The cubic root of 85117329 is about 439.8851783723.

The spelling of 85117329 in words is "eighty-five million, one hundred seventeen thousand, three hundred twenty-nine".