66973 has 2 divisors, whose sum is σ = 66974. Its totient is φ = 66972.

The previous prime is 66959. The next prime is 66977. The reversal of 66973 is 37966.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 17689 = 222^2 + 133^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33486 + 33487.

It is an arithmetic number, because the mean of its divisors is an integer number (33487).

2⁶⁶⁹⁷³ is an apocalyptic number.

It is an amenable number.

66973 is a deficient number, since it is larger than the sum of its proper divisors (1).

66973 is an equidigital number, since it uses as much as digits as its factorization.

66973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6804, while the sum is 31.

The square root of 66973 is about 258.7914218053. The cubic root of 66973 is about 40.6100244605.

The spelling of 66973 in words is "sixty-six thousand, nine hundred seventy-three".