85829000 has 32 divisors (see below), whose sum is σ = 200842200. Its totient is φ = 34331200.

The previous prime is 85828999. The next prime is 85829021. The reversal of 85829000 is 92858.

It can be written as a sum of positive squares in 4 ways, for example, as 5654884 + 80174116 = 2378^2 + 8954^2 .

It is a super-3 number, since 3×85829000³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41915 + ... + 43914.

Almost surely, 2^85829000 is an apocalyptic number.

It is an amenable number.

85829000 is an abundant number, since it is smaller than the sum of its proper divisors (115013200).

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

85829000 is a wasteful number, since it uses less digits than its factorization.

85829000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85850 (or 85836 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 85829000 is about 9264.3942057751. The cubic root of 85829000 is about 441.1077459834.

The spelling of 85829000 in words is "eighty-five million, eight hundred twenty-nine thousand".