166362 has 32 divisors (see below), whose sum is σ = 404352. Its totient is φ = 44544.

The previous prime is 166357. The next prime is 166363. The reversal of 166362 is 263661.

166362 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (12636).

2¹⁶⁶³⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202176).

166362 is an abundant number, since it is smaller than the sum of its proper divisors (237990).

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

166362 is a wasteful number, since it uses less digits than its factorization.

166362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262.

The product of its digits is 1296, while the sum is 24.

The square root of 166362 is about 407.8749808458. The cubic root of 166362 is about 54.9985674558.

It can be divided in two parts, 166 and 362, that added together give a triangular number (528 = T₃₂).

The spelling of 166362 in words is "one hundred sixty-six thousand, three hundred sixty-two".