170456 has 32 divisors (see below), whose sum is σ = 378000. Its totient is φ = 71040.

The previous prime is 170447. The next prime is 170473. The reversal of 170456 is 654071.

170456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 170456.

It is an unprimeable number.

170456 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, 1070 + ... + 1218.

2¹⁷⁰⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 170456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189000).

170456 is an abundant number, since it is smaller than the sum of its proper divisors (207544).

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

170456 is a wasteful number, since it uses less digits than its factorization.

170456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 170456 is about 412.8631734607. The cubic root of 170456 is about 55.4460694089.

It can be divided in two parts, 170 and 456, that added together give a palindrome (626).

The spelling of 170456 in words is "one hundred seventy thousand, four hundred fifty-six".