171116712 has 224 divisors, whose sum is σ = 540772680. Its totient is φ = 50388480.

The previous prime is 171116689. The next prime is 171116731. The reversal of 171116712 is 217611171.

It can be written as a sum of positive squares in 4 ways, for example, as 106378596 + 64738116 = 10314^2 + 8046^2 .

It is a super-4 number, since 4×171116712⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2805162 + ... + 2805222.

Almost surely, 2^171116712 is an apocalyptic number.

171116712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171116712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270386340).

171116712 is an abundant number, since it is smaller than the sum of its proper divisors (369655968).

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

171116712 is a wasteful number, since it uses less digits than its factorization.

171116712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its digits is 588, while the sum is 27.

The square root of 171116712 is about 13081.1586642774. The cubic root of 171116712 is about 555.1761602960.

Adding to 171116712 its reverse (217611171), we get a palindrome (388727883).

The spelling of 171116712 in words is "one hundred seventy-one million, one hundred sixteen thousand, seven hundred twelve".