205932231 has 12 divisors (see below), whose sum is σ = 298153440. Its totient is φ = 136967040.

The previous prime is 205932211. The next prime is 205932247. The reversal of 205932231 is 132239502.

205932231 is a `hidden beast` number, since 20 + 593 + 22 + 31 = 666.

It is not a de Polignac number, because 205932231 - 2²² = 201737927 is a prime.

It is a super-2 number, since 2×205932231² = 84816167529274722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205932195 and 205932204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205932211) 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 11 ways as a sum of consecutive naturals, for example, 22666 + ... + 30423.

It is an arithmetic number, because the mean of its divisors is an integer number (24846120).

Almost surely, 2^205932231 is an apocalyptic number.

205932231 is a deficient number, since it is larger than the sum of its proper divisors (92221209).

205932231 is a wasteful number, since it uses less digits than its factorization.

205932231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53526 (or 53523 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 205932231 is about 14350.3390552279. The cubic root of 205932231 is about 590.5292875558.

The spelling of 205932231 in words is "two hundred five million, nine hundred thirty-two thousand, two hundred thirty-one".