205833820 has 12 divisors (see below), whose sum is σ = 432251064. Its totient is φ = 82333520.

The previous prime is 205833809. The next prime is 205833827. The reversal of 205833820 is 28338502.

It is a super-2 number, since 2×205833820² = 84735122911584800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205833827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5145826 + ... + 5145865.

It is an arithmetic number, because the mean of its divisors is an integer number (36020922).

Almost surely, 2^205833820 is an apocalyptic number.

205833820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205833820 is an abundant number, since it is smaller than the sum of its proper divisors (226417244).

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

205833820 is a wasteful number, since it uses less digits than its factorization.

205833820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10291700 (or 10291698 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 205833820 is about 14346.9097717941. The cubic root of 205833820 is about 590.4352050880.

The spelling of 205833820 in words is "two hundred five million, eight hundred thirty-three thousand, eight hundred twenty".