171413316 has 72 divisors (see below), whose sum is σ = 452513880. Its totient is φ = 54641664.

The previous prime is 171413311. The next prime is 171413317. The reversal of 171413316 is 613314171.

171413316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25100100 + 146313216 = 5010^2 + 12096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 171413316.

It is not an unprimeable number, because it can be changed into a prime (171413311) 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, 117246 + ... + 118698.

It is an arithmetic number, because the mean of its divisors is an integer number (6284915).

Almost surely, 2^171413316 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 171413316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226256940).

171413316 is an abundant number, since it is smaller than the sum of its proper divisors (281100564).

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

171413316 is a wasteful number, since it uses less digits than its factorization.

171413316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1600 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 171413316 is about 13092.4908248965. The cubic root of 171413316 is about 555.4967454251.

Adding to 171413316 its reverse (613314171), we get a palindrome (784727487).

The spelling of 171413316 in words is "one hundred seventy-one million, four hundred thirteen thousand, three hundred sixteen".