171456 has 56 divisors (see below), whose sum is σ = 487680. Its totient is φ = 52992.

The previous prime is 171449. The next prime is 171467. The reversal of 171456 is 654171.

171456 = 134² + 135² + ... + 142².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

171456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3625 + ... + 3671.

2¹⁷¹⁴⁵⁶ is an apocalyptic number.

171456 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 171456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243840).

171456 is an abundant number, since it is smaller than the sum of its proper divisors (316224).

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

171456 is a wasteful number, since it uses less digits than its factorization.

171456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 171456 is about 414.0724574274. The cubic root of 171456 is about 55.5542850080.

It can be divided in two parts, 1714 and 56, that added together give a triangular number (1770 = T₅₉).

The spelling of 171456 in words is "one hundred seventy-one thousand, four hundred fifty-six".