67293 has 6 divisors (see below), whose sum is σ = 97214. Its totient is φ = 44856.

The previous prime is 67289. The next prime is 67307. The reversal of 67293 is 39276.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 729 = 258^2 + 27^2 .

It is not a de Polignac number, because 67293 - 2² = 67289 is a prime.

It is a d-powerful number, because it can be written as 6² + 7 + 2¹³ + 9 + 3¹⁰ .

It is a Duffinian number.

It is a Curzon number.

67293 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3730 + ... + 3747.

2⁶⁷²⁹³ is an apocalyptic number.

It is an amenable number.

67293 is a deficient number, since it is larger than the sum of its proper divisors (29921).

67293 is a wasteful number, since it uses less digits than its factorization.

67293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7483 (or 7480 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 67293 is about 259.4089435621. The cubic root of 67293 is about 40.6746005602.

Subtracting from 67293 its product of digits (2268), we obtain a square (65025 = 255²).

The spelling of 67293 in words is "sixty-seven thousand, two hundred ninety-three".