85333500 has 360 divisors, whose sum is σ = 331387056. Its totient is φ = 19051200.

The previous prime is 85333487. The next prime is 85333513. The reversal of 85333500 is 533358.

It is an interprime number because it is at equal distance from previous prime (85333487) and next prime (85333513).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1984479 + ... + 1984521.

Almost surely, 2^85333500 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 85333500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165693528).

85333500 is an abundant number, since it is smaller than the sum of its proper divisors (246053556).

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

85333500 is a wasteful number, since it uses less digits than its factorization.

85333500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 85333500 is about 9237.6133281276. The cubic root of 85333500 is about 440.2572531447.

Adding to 85333500 its reverse (533358), we get a palindrome (85866858).

The spelling of 85333500 in words is "eighty-five million, three hundred thirty-three thousand, five hundred".