85332667 has 24 divisors (see below), whose sum is σ = 105354240. Its totient is φ = 68720400.

The previous prime is 85332649. The next prime is 85332671. The reversal of 85332667 is 76623358.

It is a de Polignac number, because none of the positive numbers 2^k-85332667 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85332617) 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 23 ways as a sum of consecutive naturals, for example, 140278 + ... + 140884.

It is an arithmetic number, because the mean of its divisors is an integer number (4389760).

Almost surely, 2^85332667 is an apocalyptic number.

85332667 is a deficient number, since it is larger than the sum of its proper divisors (20021573).

85332667 is a wasteful number, since it uses less digits than its factorization.

85332667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 784 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 85332667 is about 9237.5682406140. The cubic root of 85332667 is about 440.2558205870.

The spelling of 85332667 in words is "eighty-five million, three hundred thirty-two thousand, six hundred sixty-seven".