162006 has 32 divisors (see below), whose sum is σ = 365568. Its totient is φ = 47520.

The previous prime is 161999. The next prime is 162007. The reversal of 162006 is 600261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162007) by changing a digit.

162006 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 15 ways as a sum of consecutive naturals, for example, 2385 + ... + 2451.

It is an arithmetic number, because the mean of its divisors is an integer number (11424).

2¹⁶²⁰⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 402×403.

It is a practical number, because each smaller number is the sum of distinct divisors of 162006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182784).

162006 is an abundant number, since it is smaller than the sum of its proper divisors (203562).

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

162006 is a wasteful number, since it uses less digits than its factorization.

162006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 162006 is about 402.4996894409. The cubic root of 162006 is about 54.5142907843.

Adding to 162006 its reverse (600261), we get a palindrome (762267).

The spelling of 162006 in words is "one hundred sixty-two thousand, six".