205374233 has 2 divisors, whose sum is σ = 205374234. Its totient is φ = 205374232.

The previous prime is 205374217. The next prime is 205374241. The reversal of 205374233 is 332473502.

205374233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 187498249 + 17875984 = 13693^2 + 4228^2 .

It is a cyclic number.

It is not a de Polignac number, because 205374233 - 2⁴ = 205374217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205374196 and 205374205.

It is not a weakly prime, because it can be changed into another prime (205374833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102687116 + 102687117.

It is an arithmetic number, because the mean of its divisors is an integer number (102687117).

Almost surely, 2^205374233 is an apocalyptic number.

It is an amenable number.

205374233 is a deficient number, since it is larger than the sum of its proper divisors (1).

205374233 is an equidigital number, since it uses as much as digits as its factorization.

205374233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 29.

The square root of 205374233 is about 14330.8838876044. The cubic root of 205374233 is about 589.9954351844.

The spelling of 205374233 in words is "two hundred five million, three hundred seventy-four thousand, two hundred thirty-three".