85933000 has 32 divisors (see below), whose sum is σ = 201085560. Its totient is φ = 34372800.

The previous prime is 85932949. The next prime is 85933009. The reversal of 85933000 is 33958.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30846916 + 55086084 = 5554^2 + 7422^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85933000.

It is not an unprimeable number, because it can be changed into a prime (85933009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41967 + ... + 43966.

Almost surely, 2^85933000 is an apocalyptic number.

It is an amenable number.

85933000 is an abundant number, since it is smaller than the sum of its proper divisors (115152560).

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

85933000 is a wasteful number, since it uses less digits than its factorization.

85933000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85954 (or 85940 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 85933000 is about 9270.0053937417. The cubic root of 85933000 is about 441.2858392031.

Adding to 85933000 its reverse (33958), we get a palindrome (85966958).

The spelling of 85933000 in words is "eighty-five million, nine hundred thirty-three thousand".