966584801 has 16 divisors (see below), whose sum is σ = 1192377984. Its totient is φ = 763012224.

The previous prime is 966584791. The next prime is 966584807. The reversal of 966584801 is 108485669.

It is not a de Polignac number, because 966584801 - 2¹⁸ = 966322657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (966584807) 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 15 ways as a sum of consecutive naturals, for example, 28325 + ... + 52301.

It is an arithmetic number, because the mean of its divisors is an integer number (74523624).

Almost surely, 2^966584801 is an apocalyptic number.

966584801 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

966584801 is a deficient number, since it is larger than the sum of its proper divisors (225793183).

966584801 is a wasteful number, since it uses less digits than its factorization.

966584801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24440.

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 966584801 is about 31089.9469443098. The cubic root of 966584801 is about 988.7351806661.

The spelling of 966584801 in words is "nine hundred sixty-six million, five hundred eighty-four thousand, eight hundred one".