67973 has 4 divisors (see below), whose sum is σ = 68748. Its totient is φ = 67200.

The previous prime is 67967. The next prime is 67979. The reversal of 67973 is 37976.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (67967) and next prime (67979).

It can be written as a sum of positive squares in 2 ways, for example, as 47524 + 20449 = 218^2 + 143^2 .

It is a cyclic number.

It is not a de Polignac number, because 67973 - 2⁴ = 67957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67979) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 236 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (17187).

2⁶⁷⁹⁷³ is an apocalyptic number.

It is an amenable number.

67973 is a deficient number, since it is larger than the sum of its proper divisors (775).

67973 is a wasteful number, since it uses less digits than its factorization.

67973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774.

The product of its digits is 7938, while the sum is 32.

The square root of 67973 is about 260.7163209314. The cubic root of 67973 is about 40.8111481134.

The spelling of 67973 in words is "sixty-seven thousand, nine hundred seventy-three".