205340731 has 2 divisors, whose sum is σ = 205340732. Its totient is φ = 205340730.

The previous prime is 205340719. The next prime is 205340741. The reversal of 205340731 is 137043502.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205340731 - 2¹³ = 205332539 is a prime.

It is a super-2 number, since 2×205340731² = 84329631615228722, which contains 22 as substring.

It is equal to p_11358205 and since 205340731 and 11358205 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 205340696 and 205340705.

It is not a weakly prime, because it can be changed into another prime (205340741) 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 as a sum of consecutive naturals, namely, 102670365 + 102670366.

It is an arithmetic number, because the mean of its divisors is an integer number (102670366).

Almost surely, 2^205340731 is an apocalyptic number.

205340731 is a deficient number, since it is larger than the sum of its proper divisors (1).

205340731 is an equidigital number, since it uses as much as digits as its factorization.

205340731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 205340731 is about 14329.7149657626. The cubic root of 205340731 is about 589.9633521237.

The spelling of 205340731 in words is "two hundred five million, three hundred forty thousand, seven hundred thirty-one".