166782 has 48 divisors (see below), whose sum is σ = 438912. Its totient is φ = 41040.

The previous prime is 166781. The next prime is 166783. The reversal of 166782 is 287661.

166782 = T₁₈₈ + T₁₈₉ + ... + T₁₉₆.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (166781) and next prime (166783).

Its product of digits (4032) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166781) 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 23 ways as a sum of consecutive naturals, for example, 8769 + ... + 8787.

It is an arithmetic number, because the mean of its divisors is an integer number (9144).

2¹⁶⁶⁷⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219456).

166782 is an abundant number, since it is smaller than the sum of its proper divisors (272130).

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

166782 is a wasteful number, since it uses less digits than its factorization.

166782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 42 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 166782 is about 408.3895199439. The cubic root of 166782 is about 55.0448119638.

The spelling of 166782 in words is "one hundred sixty-six thousand, seven hundred eighty-two".