166312 has 8 divisors (see below), whose sum is σ = 311850. Its totient is φ = 83152.

The previous prime is 166303. The next prime is 166319. The reversal of 166312 is 213661.

It can be written as a sum of positive squares in only one way, i.e., 111556 + 54756 = 334^2 + 234^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 166312.

It is not an unprimeable number, because it can be changed into a prime (166319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10387 + ... + 10402.

2¹⁶⁶³¹² is an apocalyptic number.

It is an amenable number.

166312 is a deficient number, since it is larger than the sum of its proper divisors (145538).

166312 is a wasteful number, since it uses less digits than its factorization.

166312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20795 (or 20791 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 166312 is about 407.8136829485. The cubic root of 166312 is about 54.9930569748.

Adding to 166312 its reverse (213661), we get a palindrome (379973).

It can be divided in two parts, 16 and 6312, that added together give a triangular number (6328 = T₁₁₂).

The spelling of 166312 in words is "one hundred sixty-six thousand, three hundred twelve".