173813 has 4 divisors (see below), whose sum is σ = 176268. Its totient is φ = 171360.

The previous prime is 173807. The next prime is 173819. The reversal of 173813 is 318371.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 318371 = 53 ⋅6007.

It is an interprime number because it is at equal distance from previous prime (173807) and next prime (173819).

It can be written as a sum of positive squares in 2 ways, for example, as 31684 + 142129 = 178^2 + 377^2 .

It is a cyclic number.

It is not a de Polignac number, because 173813 - 2¹⁴ = 157429 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1118 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (44067).

2¹⁷³⁸¹³ is an apocalyptic number.

It is an amenable number.

173813 is a deficient number, since it is larger than the sum of its proper divisors (2455).

173813 is an equidigital number, since it uses as much as digits as its factorization.

173813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454.

The product of its digits is 504, while the sum is 23.

The square root of 173813 is about 416.9088629425. The cubic root of 173813 is about 55.8076949687.

The spelling of 173813 in words is "one hundred seventy-three thousand, eight hundred thirteen".