85833100 has 36 divisors (see below), whose sum is σ = 189324688. Its totient is φ = 33768000.

The previous prime is 85833091. The next prime is 85833101. The reversal of 85833100 is 133858.

It is a super-2 number, since 2×85833100² = 14734642111220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85833101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 936 + ... + 13135.

Almost surely, 2^85833100 is an apocalyptic number.

It is an amenable number.

85833100 is an abundant number, since it is smaller than the sum of its proper divisors (103491588).

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

85833100 is a wasteful number, since it uses less digits than its factorization.

85833100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14146 (or 14139 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 85833100 is about 9264.6154804180. The cubic root of 85833100 is about 441.1147696893.

Adding to 85833100 its reverse (133858), we get a palindrome (85966958).

The spelling of 85833100 in words is "eighty-five million, eight hundred thirty-three thousand, one hundred".