166332609 has 15 divisors (see below), whose sum is σ = 248645683. Its totient is φ = 110811024.

The previous prime is 166332601. The next prime is 166332679. The reversal of 166332609 is 906233661.

The square root of 166332609 is 12897.

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

166332609 is a `hidden beast` number, since 16 + 6 + 3 + 32 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 137945025 + 28387584 = 11745^2 + 5328^2 .

It is not a de Polignac number, because 166332609 - 2³ = 166332601 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (166332601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 115357 + ... + 116789.

Almost surely, 2^166332609 is an apocalyptic number.

166332609 is the 12897-th square number.

166332609 is the 6449-th centered octagonal number.

It is an amenable number.

166332609 is a deficient number, since it is larger than the sum of its proper divisors (82313074).

166332609 is an frugal number, since it uses more digits than its factorization.

166332609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The cubic root of 166332609 is about 549.9532841864.

Multiplying 166332609 by its sum of digits (36), we get a square (5987973924 = 77382²).

The spelling of 166332609 in words is "one hundred sixty-six million, three hundred thirty-two thousand, six hundred nine".