162162 has 80 divisors (see below), whose sum is σ = 487872. Its totient is φ = 38880.

The previous prime is 162143. The next prime is 162209. The reversal of 162162 is 261261.

It is a happy number.

162162 is nontrivially palindromic in base 16.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

Its product of digits (144) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

162162 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12468 + ... + 12480.

2¹⁶²¹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243936).

162162 is an abundant number, since it is smaller than the sum of its proper divisors (325710).

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

162162 is a wasteful number, since it uses less digits than its factorization.

162162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 36 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 162162 is about 402.6934317815. The cubic root of 162162 is about 54.5317829372.

162162 divided by its sum of digits (18) gives a palindrome (9009).

Subtracting 162162 from its reverse (261261), we obtain a palindrome (99099).

It can be divided in two parts, 162 and 162, that added together give a square (324 = 18²).

The spelling of 162162 in words is "one hundred sixty-two thousand, one hundred sixty-two".