163116 has 36 divisors (see below), whose sum is σ = 432432. Its totient is φ = 51744.

The previous prime is 163109. The next prime is 163117. The reversal of 163116 is 611361.

It is a tau number, because it is divible by the number of its divisors (36).

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.

It is not an unprimeable number, because it can be changed into a prime (163117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 730 + ... + 926.

It is an arithmetic number, because the mean of its divisors is an integer number (12012).

2¹⁶³¹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216216).

163116 is an abundant number, since it is smaller than the sum of its proper divisors (269316).

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

163116 is a wasteful number, since it uses less digits than its factorization.

163116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 225 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 163116 is about 403.8762186611. The cubic root of 163116 is about 54.6385108496.

Adding to 163116 its reverse (611361), we get a palindrome (774477).

The spelling of 163116 in words is "one hundred sixty-three thousand, one hundred sixteen".