205292431 has 2 divisors, whose sum is σ = 205292432. Its totient is φ = 205292430.

The previous prime is 205292413. The next prime is 205292443. The reversal of 205292431 is 134292502.

205292431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (205292413) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205292431 - 2⁷ = 205292303 is a prime.

It is a super-2 number, since 2×205292431² = 84289964451779522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205292431.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205292471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102646215 + 102646216.

It is an arithmetic number, because the mean of its divisors is an integer number (102646216).

Almost surely, 2^205292431 is an apocalyptic number.

205292431 is a deficient number, since it is larger than the sum of its proper divisors (1).

205292431 is an equidigital number, since it uses as much as digits as its factorization.

205292431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 205292431 is about 14328.0295574793. The cubic root of 205292431 is about 589.9170916729.

The spelling of 205292431 in words is "two hundred five million, two hundred ninety-two thousand, four hundred thirty-one".