322166601 has 27 divisors (see below), whose sum is σ = 483351687. Its totient is φ = 206772480.

The previous prime is 322166573. The next prime is 322166627. The reversal of 322166601 is 106661223.

The square root of 322166601 is 17949.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78057225 + 244109376 = 8835^2 + 15624^2 .

It is not a de Polignac number, because 322166601 - 2¹¹ = 322164553 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (322161601) 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 26 ways as a sum of consecutive naturals, for example, 1669161 + ... + 1669353.

Almost surely, 2^322166601 is an apocalyptic number.

322166601 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

322166601 is the 17949-th square number.

322166601 is the 8975-th centered octagonal number.

It is an amenable number.

322166601 is a deficient number, since it is larger than the sum of its proper divisors (161185086).

322166601 is an equidigital number, since it uses as much as digits as its factorization.

322166601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 322166601 is about 685.5305893169.

The spelling of 322166601 in words is "three hundred twenty-two million, one hundred sixty-six thousand, six hundred one".