673753 has 4 divisors (see below), whose sum is σ = 690228. Its totient is φ = 657280.

The previous prime is 673747. The next prime is 673769. The reversal of 673753 is 357376.

673753 = 47² + 48² + ... + 128².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 299209 = 612^2 + 547^2 .

It is a cyclic number.

It is not a de Polignac number, because 673753 - 2⁹ = 673241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (673793) 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, 8176 + ... + 8257.

It is an arithmetic number, because the mean of its divisors is an integer number (172557).

2⁶⁷³⁷⁵³ is an apocalyptic number.

It is an amenable number.

673753 is a deficient number, since it is larger than the sum of its proper divisors (16475).

673753 is a wasteful number, since it uses less digits than its factorization.

673753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16474.

The product of its digits is 13230, while the sum is 31.

The square root of 673753 is about 820.8245854018. The cubic root of 673753 is about 87.6664803272. Note that the first 3 decimals are identical.

The spelling of 673753 in words is "six hundred seventy-three thousand, seven hundred fifty-three".