205331000 has 64 divisors (see below), whose sum is σ = 549132480. Its totient is φ = 70396800.

The previous prime is 205330999. The next prime is 205331003. The reversal of 205331000 is 133502.

It is a super-2 number, since 2×205331000² = 84321639122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205331003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7667 + ... + 21666.

It is an arithmetic number, because the mean of its divisors is an integer number (8580195).

Almost surely, 2^205331000 is an apocalyptic number.

205331000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205331000 is an abundant number, since it is smaller than the sum of its proper divisors (343801480).

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

205331000 is a wasteful number, since it uses less digits than its factorization.

205331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29361 (or 29347 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 205331000 is about 14329.3754225367. The cubic root of 205331000 is about 589.9540326152.

Adding to 205331000 its reverse (133502), we get a palindrome (205464502).

The spelling of 205331000 in words is "two hundred five million, three hundred thirty-one thousand".