205242431 has 8 divisors (see below), whose sum is σ = 206724000. Its totient is φ = 203765760.

The previous prime is 205242421. The next prime is 205242437. The reversal of 205242431 is 134242502.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205242431 - 2¹⁸ = 204980287 is a prime.

It is a super-2 number, since 2×205242431² = 84248910965579522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205242397 and 205242406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205242437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126755 + ... + 128363.

It is an arithmetic number, because the mean of its divisors is an integer number (25840500).

Almost surely, 2^205242431 is an apocalyptic number.

205242431 is a deficient number, since it is larger than the sum of its proper divisors (1481569).

205242431 is a wasteful number, since it uses less digits than its factorization.

205242431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449.

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 205242431 is about 14326.2846195376. The cubic root of 205242431 is about 589.8691953632.

Adding to 205242431 its reverse (134242502), we get a palindrome (339484933).

The spelling of 205242431 in words is "two hundred five million, two hundred forty-two thousand, four hundred thirty-one".