67073 has 2 divisors, whose sum is σ = 67074. Its totient is φ = 67072.

The previous prime is 67061. The next prime is 67079. The reversal of 67073 is 37076.

67073 is nontrivially palindromic in base 16.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66049 + 1024 = 257^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 67073 - 2⁴ = 67057 is a prime.

It is equal to p₆₆₈₃ and since 67073 and 6683 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33536 + 33537.

It is an arithmetic number, because the mean of its divisors is an integer number (33537).

It is a Proth number, since it is equal to 131 ⋅ 2⁹ + 1 and 131 < 2⁹.

2⁶⁷⁰⁷³ is an apocalyptic number.

It is an amenable number.

67073 is a deficient number, since it is larger than the sum of its proper divisors (1).

67073 is an equidigital number, since it uses as much as digits as its factorization.

67073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 67073 is about 258.9845555241. The cubic root of 67073 is about 40.6302265465.

The spelling of 67073 in words is "sixty-seven thousand, seventy-three".