205819812 has 48 divisors (see below), whose sum is σ = 582120000. Its totient is φ = 62369280.

The previous prime is 205819793. The next prime is 205819813. The reversal of 205819812 is 218918502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (205819813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85437 + ... + 87812.

It is an arithmetic number, because the mean of its divisors is an integer number (12127500).

Almost surely, 2^205819812 is an apocalyptic number.

205819812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

205819812 is an abundant number, since it is smaller than the sum of its proper divisors (376300188).

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

205819812 is a wasteful number, since it uses less digits than its factorization.

205819812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173273 (or 173265 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 205819812 is about 14346.4215747342. The cubic root of 205819812 is about 590.4218107813.

The spelling of 205819812 in words is "two hundred five million, eight hundred nineteen thousand, eight hundred twelve".