174561 has 8 divisors (see below), whose sum is σ = 240384. Its totient is φ = 112560.

The previous prime is 174533. The next prime is 174569. The reversal of 174561 is 165471.

174561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 174561 - 2⁹ = 174049 is a prime.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (174569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 846 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (30048).

2¹⁷⁴⁵⁶¹ is an apocalyptic number.

It is an amenable number.

174561 is a deficient number, since it is larger than the sum of its proper divisors (65823).

174561 is a wasteful number, since it uses less digits than its factorization.

174561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911.

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

The square root of 174561 is about 417.8049784289. The cubic root of 174561 is about 55.8876360873.

The spelling of 174561 in words is "one hundred seventy-four thousand, five hundred sixty-one".