205097833 has 2 divisors, whose sum is σ = 205097834. Its totient is φ = 205097832.

The previous prime is 205097821. The next prime is 205097839. The reversal of 205097833 is 338790502.

205097833 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., 194128489 + 10969344 = 13933^2 + 3312^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205097833 is a prime.

It is a super-2 number, since 2×205097833² = 84130242202591778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205097792 and 205097801.

It is not a weakly prime, because it can be changed into another prime (205097839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102548916 + 102548917.

It is an arithmetic number, because the mean of its divisors is an integer number (102548917).

Almost surely, 2^205097833 is an apocalyptic number.

It is an amenable number.

205097833 is a deficient number, since it is larger than the sum of its proper divisors (1).

205097833 is an equidigital number, since it uses as much as digits as its factorization.

205097833 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 205097833 is about 14321.2371323151. The cubic root of 205097833 is about 589.7306373600.

The spelling of 205097833 in words is "two hundred five million, ninety-seven thousand, eight hundred thirty-three".