205764973 has 8 divisors (see below), whose sum is σ = 209763680. Its totient is φ = 201793680.

The previous prime is 205764967. The next prime is 205764983. The reversal of 205764973 is 379467502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205764973 is a prime.

It is a super-2 number, since 2×205764973² = 84678448227381458, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205764913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8638 + ... + 22048.

It is an arithmetic number, because the mean of its divisors is an integer number (26220460).

Almost surely, 2^205764973 is an apocalyptic number.

It is an amenable number.

205764973 is a deficient number, since it is larger than the sum of its proper divisors (3998707).

205764973 is a wasteful number, since it uses less digits than its factorization.

205764973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13707.

The product of its (nonzero) digits is 317520, while the sum is 43.

The square root of 205764973 is about 14344.5102042558. The cubic root of 205764973 is about 590.3693684412.

The spelling of 205764973 in words is "two hundred five million, seven hundred sixty-four thousand, nine hundred seventy-three".