966566205 has 48 divisors (see below), whose sum is σ = 1886676480. Its totient is φ = 453513600.

The previous prime is 966566189. The next prime is 966566231. The reversal of 966566205 is 502665669.

966566205 is a `hidden beast` number, since 9 + 66 + 566 + 20 + 5 = 666.

It is not a de Polignac number, because 966566205 - 2⁴ = 966566189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16150 + ... + 46839.

It is an arithmetic number, because the mean of its divisors is an integer number (39305760).

Almost surely, 2^966566205 is an apocalyptic number.

It is an amenable number.

966566205 is a deficient number, since it is larger than the sum of its proper divisors (920110275).

966566205 is a wasteful number, since it uses less digits than its factorization.

966566205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63042 (or 63039 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 966566205 is about 31089.6478751368. The cubic root of 966566205 is about 988.7288399094.

The spelling of 966566205 in words is "nine hundred sixty-six million, five hundred sixty-six thousand, two hundred five".