171838116 has 72 divisors (see below), whose sum is σ = 444347904. Its totient is φ = 55978560.

The previous prime is 171838111. The next prime is 171838123. The reversal of 171838116 is 611838171.

It is a happy number.

It is a super-2 number, since 2×171838116² = 59056676220858912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (171838111) 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, 460506 + ... + 460878.

Almost surely, 2^171838116 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 171838116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222173952).

171838116 is an abundant number, since it is smaller than the sum of its proper divisors (272509788).

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

171838116 is a wasteful number, since it uses less digits than its factorization.

171838116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 636 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 171838116 is about 13108.7038260844. The cubic root of 171838116 is about 555.9552480241.

The spelling of 171838116 in words is "one hundred seventy-one million, eight hundred thirty-eight thousand, one hundred sixteen".