85229300 has 72 divisors (see below), whose sum is σ = 203096376. Its totient is φ = 30850560.

The previous prime is 85229281. The next prime is 85229321. The reversal of 85229300 is 392258.

It can be written as a sum of positive squares in 12 ways, for example, as 18284176 + 66945124 = 4276^2 + 8182^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68282 + ... + 69518.

It is an arithmetic number, because the mean of its divisors is an integer number (2820783).

Almost surely, 2^85229300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85229300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101548188).

85229300 is an abundant number, since it is smaller than the sum of its proper divisors (117867076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85229300 is a wasteful number, since it uses less digits than its factorization.

85229300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 85229300 is about 9231.9716204070. The cubic root of 85229300 is about 440.0779820460.

The spelling of 85229300 in words is "eighty-five million, two hundred twenty-nine thousand, three hundred".