171387216 has 480 divisors, whose sum is σ = 682456320. Its totient is φ = 38707200.

The previous prime is 171387197. The next prime is 171387233. The reversal of 171387216 is 612783171.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4180156 + ... + 4180196.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^171387216 is an apocalyptic number.

171387216 is a gapful number since it is divisible by the number (16) 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 171387216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

171387216 is an abundant number, since it is smaller than the sum of its proper divisors (511069104).

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

171387216 is a wasteful number, since it uses less digits than its factorization.

171387216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 171387216 is about 13091.4940323861. The cubic root of 171387216 is about 555.4685500251.

The spelling of 171387216 in words is "one hundred seventy-one million, three hundred eighty-seven thousand, two hundred sixteen".