966800367 has 20 divisors (see below), whose sum is σ = 1555329160. Its totient is φ = 594953424.

The previous prime is 966800339. The next prime is 966800383. The reversal of 966800367 is 763008669.

It is not a de Polignac number, because 966800367 - 2¹⁶ = 966734831 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966800867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 458017 + ... + 460122.

It is an arithmetic number, because the mean of its divisors is an integer number (77766458).

Almost surely, 2^966800367 is an apocalyptic number.

966800367 is a deficient number, since it is larger than the sum of its proper divisors (588528793).

966800367 is a wasteful number, since it uses less digits than its factorization.

966800367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918164 (or 918155 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 966800367 is about 31093.4135630040. The cubic root of 966800367 is about 988.8086771820.

The spelling of 966800367 in words is "nine hundred sixty-six million, eight hundred thousand, three hundred sixty-seven".