205824381 has 16 divisors (see below), whose sum is σ = 315130368. Its totient is φ = 117054000.

The previous prime is 205824371. The next prime is 205824419. The reversal of 205824381 is 183428502.

It is not a de Polignac number, because 205824381 - 2⁵ = 205824349 is a prime.

It is a super-2 number, since 2×205824381² = 84727351628066322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205824301) 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, 18795 + ... + 27656.

It is an arithmetic number, because the mean of its divisors is an integer number (19695648).

Almost surely, 2^205824381 is an apocalyptic number.

205824381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

205824381 is a deficient number, since it is larger than the sum of its proper divisors (109305987).

205824381 is a wasteful number, since it uses less digits than its factorization.

205824381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46672.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 205824381 is about 14346.5808121657. The cubic root of 205824381 is about 590.4261796793.

The spelling of 205824381 in words is "two hundred five million, eight hundred twenty-four thousand, three hundred eighty-one".