205381123 has 2 divisors, whose sum is σ = 205381124. Its totient is φ = 205381122.

The previous prime is 205381087. The next prime is 205381133. The reversal of 205381123 is 321183502.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205381123 is a prime.

It is a super-2 number, since 2×205381123² = 84362811369482258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (205381133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102690561 + 102690562.

It is an arithmetic number, because the mean of its divisors is an integer number (102690562).

Almost surely, 2^205381123 is an apocalyptic number.

205381123 is a deficient number, since it is larger than the sum of its proper divisors (1).

205381123 is an equidigital number, since it uses as much as digits as its factorization.

205381123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 205381123 is about 14331.1242755061. The cubic root of 205381123 is about 590.0020329337.

The spelling of 205381123 in words is "two hundred five million, three hundred eighty-one thousand, one hundred twenty-three".