456171 has 16 divisors (see below), whose sum is σ = 656640. Its totient is φ = 280800.

The previous prime is 456167. The next prime is 456193. The reversal of 456171 is 171654.

It is not a de Polignac number, because 456171 - 2² = 456167 is a prime.

456171 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (456151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2946 + ... + 3096.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

2⁴⁵⁶¹⁷¹ is an apocalyptic number.

456171 is a deficient number, since it is larger than the sum of its proper divisors (200469).

456171 is a wasteful number, since it uses less digits than its factorization.

456171 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226.

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

The square root of 456171 is about 675.4043233501. The cubic root of 456171 is about 76.9796426760.

It can be divided in two parts, 45 and 6171, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 456171 in words is "four hundred fifty-six thousand, one hundred seventy-one".