85201833 has 16 divisors (see below), whose sum is σ = 120135680. Its totient is φ = 53562384.

The previous prime is 85201817. The next prime is 85201847. The reversal of 85201833 is 33810258.

It is a happy number.

It is not a de Polignac number, because 85201833 - 2⁴ = 85201817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85201833.

It is not an unprimeable number, because it can be changed into a prime (85201873) 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 15 ways as a sum of consecutive naturals, for example, 9360 + ... + 16062.

It is an arithmetic number, because the mean of its divisors is an integer number (7508480).

Almost surely, 2^85201833 is an apocalyptic number.

It is an amenable number.

85201833 is a deficient number, since it is larger than the sum of its proper divisors (34933847).

85201833 is a wasteful number, since it uses less digits than its factorization.

85201833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 85201833 is about 9230.4838984747. The cubic root of 85201833 is about 440.0307020587.

The spelling of 85201833 in words is "eighty-five million, two hundred one thousand, eight hundred thirty-three".