673353 has 24 divisors (see below), whose sum is σ = 1074528. Its totient is φ = 419904.

The previous prime is 673349. The next prime is 673381. The reversal of 673353 is 353376.

It is not a de Polignac number, because 673353 - 2² = 673349 is a prime.

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

It is a d-powerful number, because it can be written as 6⁶ + 7⁵ + 3⁴ + 3⁵ + 5⁷ + 3¹² .

673353 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4050 + ... + 4212.

It is an arithmetic number, because the mean of its divisors is an integer number (44772).

2⁶⁷³³⁵³ is an apocalyptic number.

It is an amenable number.

673353 is a deficient number, since it is larger than the sum of its proper divisors (401175).

673353 is a wasteful number, since it uses less digits than its factorization.

673353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its digits is 5670, while the sum is 27.

The square root of 673353 is about 820.5808918077. The cubic root of 673353 is about 87.6491280067.

Adding to 673353 its sum of digits (27), we get a triangular number (673380 = T₁₁₆₀).

It can be divided in two parts, 6733 and 53, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 673353 in words is "six hundred seventy-three thousand, three hundred fifty-three".