85118033 has 48 divisors (see below), whose sum is σ = 119181312. Its totient is φ = 58968000.

The previous prime is 85118029. The next prime is 85118039. The reversal of 85118033 is 33081158.

It is not a de Polignac number, because 85118033 - 2² = 85118029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85117987 and 85118005.

It is not an unprimeable number, because it can be changed into a prime (85118039) 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 47 ways as a sum of consecutive naturals, for example, 403298 + ... + 403508.

It is an arithmetic number, because the mean of its divisors is an integer number (2482944).

Almost surely, 2^85118033 is an apocalyptic number.

It is an amenable number.

85118033 is a deficient number, since it is larger than the sum of its proper divisors (34063279).

85118033 is a wasteful number, since it uses less digits than its factorization.

85118033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 85118033 is about 9225.9434747889. The cubic root of 85118033 is about 439.8863911230.

The spelling of 85118033 in words is "eighty-five million, one hundred eighteen thousand, thirty-three".