173681 has 8 divisors (see below), whose sum is σ = 184680. Its totient is φ = 163072.

The previous prime is 173671. The next prime is 173683. The reversal of 173681 is 186371.

173681 = T₅₃ + T₅₄ + ... + T₁₀₅.

173681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6400 + 167281 = 80^2 + 409^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 173681 - 2⁶ = 173617 is a prime.

It is a super-2 number, since 2×173681² = 60330179522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 173681.

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 173681.

It is not an unprimeable number, because it can be changed into a prime (173683) 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, 1481 + ... + 1593.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2¹⁷³⁶⁸¹ is an apocalyptic number.

It is an amenable number.

173681 is a deficient number, since it is larger than the sum of its proper divisors (10999).

173681 is a wasteful number, since it uses less digits than its factorization.

173681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195.

The product of its digits is 1008, while the sum is 26.

The square root of 173681 is about 416.7505248947. The cubic root of 173681 is about 55.7935639173.

The spelling of 173681 in words is "one hundred seventy-three thousand, six hundred eighty-one".