68973 has 8 divisors (see below), whose sum is σ = 93408. Its totient is φ = 45264.

The previous prime is 68963. The next prime is 68993. The reversal of 68973 is 37986.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 68973 - 2⁶ = 68909 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (11676).

2⁶⁸⁹⁷³ is an apocalyptic number.

It is an amenable number.

68973 is a deficient number, since it is larger than the sum of its proper divisors (24435).

68973 is a wasteful number, since it uses less digits than its factorization.

68973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363.

The product of its digits is 9072, while the sum is 33.

The square root of 68973 is about 262.6271120810. The cubic root of 68973 is about 41.0103087305.

Adding to 68973 its sum of digits (33), we get a triangular number (69006 = T₃₇₁).

The spelling of 68973 in words is "sixty-eight thousand, nine hundred seventy-three".