171324972 has 216 divisors, whose sum is σ = 562353792. Its totient is φ = 43545600.

The previous prime is 171324971. The next prime is 171324977. The reversal of 171324972 is 279423171.

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 not an unprimeable number, because it can be changed into a prime (171324971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 710772 + ... + 711012.

Almost surely, 2^171324972 is an apocalyptic number.

171324972 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 171324972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281176896).

171324972 is an abundant number, since it is smaller than the sum of its proper divisors (391028820).

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

171324972 is a wasteful number, since it uses less digits than its factorization.

171324972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 171324972 is about 13089.1165477277. The cubic root of 171324972 is about 555.4012973022.

The spelling of 171324972 in words is "one hundred seventy-one million, three hundred twenty-four thousand, nine hundred seventy-two".