171129984 has 64 divisors (see below), whose sum is σ = 455931840. Its totient is φ = 56871936.

The previous prime is 171129971. The next prime is 171129997. The reversal of 171129984 is 489921171.

It is an interprime number because it is at equal distance from previous prime (171129971) and next prime (171129997).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235029 + ... + 235755.

It is an arithmetic number, because the mean of its divisors is an integer number (7123935).

Almost surely, 2^171129984 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 171129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227965920).

171129984 is an abundant number, since it is smaller than the sum of its proper divisors (284801856).

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

171129984 is an equidigital number, since it uses as much as digits as its factorization.

171129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1345 counting only the distinct ones).

The product of its digits is 36288, while the sum is 42.

The square root of 171129984 is about 13081.6659489531. The cubic root of 171129984 is about 555.1905132824.

The spelling of 171129984 in words is "one hundred seventy-one million, one hundred twenty-nine thousand, nine hundred eighty-four".