205085000 has 40 divisors (see below), whose sum is σ = 480525870. Its totient is φ = 82032000.

The previous prime is 205084973. The next prime is 205085009. The reversal of 205085000 is 580502.

It can be written as a sum of positive squares in 5 ways, for example, as 12264004 + 192820996 = 3502^2 + 13886^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (205085009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15509 + ... + 25508.

Almost surely, 2^205085000 is an apocalyptic number.

205085000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205085000 is an abundant number, since it is smaller than the sum of its proper divisors (275440870).

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

205085000 is an equidigital number, since it uses as much as digits as its factorization.

205085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41043 (or 41024 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 205085000 is about 14320.7890844045. The cubic root of 205085000 is about 589.7183372607.

The spelling of 205085000 in words is "two hundred five million, eighty-five thousand".