205979152 has 20 divisors (see below), whose sum is σ = 420089680. Its totient is φ = 97568928.

The previous prime is 205979131. The next prime is 205979161. The reversal of 205979152 is 251979502.

It is a super-2 number, since 2×205979152² = 84854822117278208, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 338478 + ... + 339085.

It is an arithmetic number, because the mean of its divisors is an integer number (21004484).

Almost surely, 2^205979152 is an apocalyptic number.

It is an amenable number.

205979152 is an abundant number, since it is smaller than the sum of its proper divisors (214110528).

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

205979152 is a wasteful number, since it uses less digits than its factorization.

205979152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677590 (or 677584 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 205979152 is about 14351.9738015368. The cubic root of 205979152 is about 590.5741342195.

The spelling of 205979152 in words is "two hundred five million, nine hundred seventy-nine thousand, one hundred fifty-two".