166842 has 48 divisors (see below), whose sum is σ = 419328. Its totient is φ = 47520.

The previous prime is 166841. The next prime is 166843. The reversal of 166842 is 248661.

It is an interprime number because it is at equal distance from previous prime (166841) and next prime (166843).

Its product of digits (2304) is a multiple of the sum of its prime divisors (72).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (166841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5367 + ... + 5397.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2¹⁶⁶⁸⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664).

166842 is an abundant number, since it is smaller than the sum of its proper divisors (252486).

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

166842 is a wasteful number, since it uses less digits than its factorization.

166842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 72 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 166842 is about 408.4629726181. The cubic root of 166842 is about 55.0514119821.

The spelling of 166842 in words is "one hundred sixty-six thousand, eight hundred forty-two".