166309 has 8 divisors (see below), whose sum is σ = 195552. Its totient is φ = 139440.

The previous prime is 166303. The next prime is 166319. The reversal of 166309 is 903661.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 166309 - 2³ = 166301 is a prime.

It is a Duffinian number.

166309 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439 + ... + 724.

It is an arithmetic number, because the mean of its divisors is an integer number (24444).

2¹⁶⁶³⁰⁹ is an apocalyptic number.

It is an amenable number.

166309 is a deficient number, since it is larger than the sum of its proper divisors (29243).

166309 is a wasteful number, since it uses less digits than its factorization.

166309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 166309 is about 407.8100047816. The cubic root of 166309 is about 54.9927263108.

Adding to 166309 its product of nonzero digits (972), we get a square (167281 = 409²).

The spelling of 166309 in words is "one hundred sixty-six thousand, three hundred nine".