66825173 has 2 divisors, whose sum is σ = 66825174. Its totient is φ = 66825172.

The previous prime is 66825167. The next prime is 66825179. The reversal of 66825173 is 37152866.

It is a balanced prime because it is at equal distance from previous prime (66825167) and next prime (66825179).

It can be written as a sum of positive squares in only one way, i.e., 64915249 + 1909924 = 8057^2 + 1382^2 .

It is a cyclic number.

It is not a de Polignac number, because 66825173 - 2⁸ = 66824917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66825179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33412586 + 33412587.

It is an arithmetic number, because the mean of its divisors is an integer number (33412587).

Almost surely, 2^66825173 is an apocalyptic number.

It is an amenable number.

66825173 is a deficient number, since it is larger than the sum of its proper divisors (1).

66825173 is an equidigital number, since it uses as much as digits as its factorization.

66825173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60480, while the sum is 38.

The square root of 66825173 is about 8174.6665375415. Note that the first 3 decimals coincide. The cubic root of 66825173 is about 405.8012345351.

The spelling of 66825173 in words is "sixty-six million, eight hundred twenty-five thousand, one hundred seventy-three".