205066973 has 2 divisors, whose sum is σ = 205066974. Its totient is φ = 205066972.

The previous prime is 205066951. The next prime is 205067029. The reversal of 205066973 is 379660502.

205066973 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 can be written as a sum of positive squares in only one way, i.e., 141657604 + 63409369 = 11902^2 + 7963^2 .

It is a cyclic number.

It is not a de Polignac number, because 205066973 - 2²² = 200872669 is a prime.

It is a super-3 number, since 3×205066973³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205066073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102533486 + 102533487.

It is an arithmetic number, because the mean of its divisors is an integer number (102533487).

Almost surely, 2^205066973 is an apocalyptic number.

It is an amenable number.

205066973 is a deficient number, since it is larger than the sum of its proper divisors (1).

205066973 is an equidigital number, since it uses as much as digits as its factorization.

205066973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 205066973 is about 14320.1596708975. The cubic root of 205066973 is about 589.7010579798.

The spelling of 205066973 in words is "two hundred five million, sixty-six thousand, nine hundred seventy-three".