166512 has 20 divisors (see below), whose sum is σ = 430280. Its totient is φ = 55488.

The previous prime is 166487. The next prime is 166541. The reversal of 166512 is 215661.

It is a happy number.

It is a super-2 number, since 2×166512² = 55452492288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

166512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 3 ways as a sum of consecutive naturals, for example, 1687 + ... + 1782.

It is an arithmetic number, because the mean of its divisors is an integer number (21514).

2¹⁶⁶⁵¹² is an apocalyptic number.

166512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166512 is an abundant number, since it is smaller than the sum of its proper divisors (263768).

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

166512 is a wasteful number, since it uses less digits than its factorization.

166512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3474 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 166512 is about 408.0588192896. The cubic root of 166512 is about 55.0150922770.

It can be divided in two parts, 16651 and 2, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 166512 in words is "one hundred sixty-six thousand, five hundred twelve".