966508122 has 32 divisors (see below), whose sum is σ = 1957842432. Its totient is φ = 318051504.

The previous prime is 966508121. The next prime is 966508177. The reversal of 966508122 is 221805669.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (966508121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212193 + ... + 216699.

It is an arithmetic number, because the mean of its divisors is an integer number (61182576).

Almost surely, 2^966508122 is an apocalyptic number.

966508122 is an abundant number, since it is smaller than the sum of its proper divisors (991334310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

966508122 is a wasteful number, since it uses less digits than its factorization.

966508122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 966508122 is about 31088.7137398767. The cubic root of 966508122 is about 988.7090345795.

The spelling of 966508122 in words is "nine hundred sixty-six million, five hundred eight thousand, one hundred twenty-two".