85505433 has 16 divisors (see below), whose sum is σ = 123668160. Its totient is φ = 52236864.

The previous prime is 85505419. The next prime is 85505437. The reversal of 85505433 is 33450558.

It is not a de Polignac number, because 85505433 - 2²⁰ = 84456857 is a prime.

It is a super-2 number, since 2×85505433² = 14622358145034978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85505394 and 85505403.

It is not an unprimeable number, because it can be changed into a prime (85505437) 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 15 ways as a sum of consecutive naturals, for example, 2466 + ... + 13307.

It is an arithmetic number, because the mean of its divisors is an integer number (7729260).

Almost surely, 2^85505433 is an apocalyptic number.

It is an amenable number.

85505433 is a deficient number, since it is larger than the sum of its proper divisors (38162727).

85505433 is a wasteful number, since it uses less digits than its factorization.

85505433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15928.

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 85505433 is about 9246.9147827803. The cubic root of 85505433 is about 440.5527368240.

The spelling of 85505433 in words is "eighty-five million, five hundred five thousand, four hundred thirty-three".