171980172 has 240 divisors, whose sum is σ = 584362240. Its totient is φ = 42830208.

The previous prime is 171980161. The next prime is 171980197. The reversal of 171980172 is 271089171.

It is a super-2 number, since 2×171980172² = 59154359122299168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 560043 + ... + 560349.

Almost surely, 2^171980172 is an apocalyptic number.

171980172 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 171980172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292181120).

171980172 is an abundant number, since it is smaller than the sum of its proper divisors (412382068).

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

171980172 is a wasteful number, since it uses less digits than its factorization.

171980172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 171980172 is about 13114.1210914037. The cubic root of 171980172 is about 556.1084057898.

The spelling of 171980172 in words is "one hundred seventy-one million, nine hundred eighty thousand, one hundred seventy-two".