85202229 has 32 divisors (see below), whose sum is σ = 136806400. Its totient is φ = 47098800.

The previous prime is 85202209. The next prime is 85202233. The reversal of 85202229 is 92220258.

It is not a de Polignac number, because 85202229 - 2⁵ = 85202197 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85202196 and 85202205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85202209) 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 31 ways as a sum of consecutive naturals, for example, 30564 + ... + 33234.

It is an arithmetic number, because the mean of its divisors is an integer number (4275200).

Almost surely, 2^85202229 is an apocalyptic number.

It is an amenable number.

85202229 is a deficient number, since it is larger than the sum of its proper divisors (51604171).

85202229 is a wasteful number, since it uses less digits than its factorization.

85202229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2712 counting only the distinct ones).

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

The square root of 85202229 is about 9230.5053491128. The cubic root of 85202229 is about 440.0313837807.

The spelling of 85202229 in words is "eighty-five million, two hundred two thousand, two hundred twenty-nine".