85393300 has 18 divisors (see below), whose sum is σ = 185303678. Its totient is φ = 34157280.

The previous prime is 85393291. The next prime is 85393303. The reversal of 85393300 is 339358.

It can be written as a sum of positive squares in 3 ways, for example, as 6290064 + 79103236 = 2508^2 + 8894^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85393303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 426867 + ... + 427066.

Almost surely, 2^85393300 is an apocalyptic number.

It is an amenable number.

85393300 is an abundant number, since it is smaller than the sum of its proper divisors (99910378).

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

85393300 is a wasteful number, since it uses less digits than its factorization.

85393300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853947 (or 853940 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 85393300 is about 9240.8495280467. The cubic root of 85393300 is about 440.3600702729.

The spelling of 85393300 in words is "eighty-five million, three hundred ninety-three thousand, three hundred".