173826 has 40 divisors (see below), whose sum is σ = 413820. Its totient is φ = 54432.

The previous prime is 173819. The next prime is 173827. The reversal of 173826 is 628371.

It can be written as a sum of positive squares in 2 ways, for example, as 164025 + 9801 = 405^2 + 99^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 173826.

It is not an unprimeable number, because it can be changed into a prime (173827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4680 + ... + 4716.

2¹⁷³⁸²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206910).

173826 is an abundant number, since it is smaller than the sum of its proper divisors (239994).

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

173826 is a wasteful number, since it uses less digits than its factorization.

173826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 71 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 173826 is about 416.9244535884. The cubic root of 173826 is about 55.8090862762.

It can be divided in two parts, 1738 and 26, that added together give a square (1764 = 42²).

The spelling of 173826 in words is "one hundred seventy-three thousand, eight hundred twenty-six".