173345 has 8 divisors (see below), whose sum is σ = 213864. Its totient is φ = 134784.

The previous prime is 173309. The next prime is 173347. The reversal of 173345 is 543371.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 160801 = 112^2 + 401^2 .

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 173345 - 2¹⁰ = 172321 is a prime.

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 173345.

It is not an unprimeable number, because it can be changed into a prime (173347) 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 7 ways as a sum of consecutive naturals, for example, 284 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (26733).

2¹⁷³³⁴⁵ is an apocalyptic number.

It is an amenable number.

173345 is a deficient number, since it is larger than the sum of its proper divisors (40519).

173345 is an equidigital number, since it uses as much as digits as its factorization.

173345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979.

The product of its digits is 1260, while the sum is 23.

The square root of 173345 is about 416.3472108709. The cubic root of 173345 is about 55.7575616306.

It can be divided in two parts, 173 and 345, that multiplied together give a triangular number (59685 = T₃₄₅).

The spelling of 173345 in words is "one hundred seventy-three thousand, three hundred forty-five".