205745431 has 2 divisors, whose sum is σ = 205745432. Its totient is φ = 205745430.

The previous prime is 205745429. The next prime is 205745447. The reversal of 205745431 is 134547502.

205745431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 205745431 - 2¹ = 205745429 is a prime.

It is a super-2 number, since 2×205745431² = 84662364754751522, which contains 22 as substring.

Together with 205745429, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 205745393 and 205745402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205745231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102872715 + 102872716.

It is an arithmetic number, because the mean of its divisors is an integer number (102872716).

Almost surely, 2^205745431 is an apocalyptic number.

205745431 is a deficient number, since it is larger than the sum of its proper divisors (1).

205745431 is an equidigital number, since it uses as much as digits as its factorization.

205745431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 205745431 is about 14343.8290215688. The cubic root of 205745431 is about 590.3506782445.

The spelling of 205745431 in words is "two hundred five million, seven hundred forty-five thousand, four hundred thirty-one".