66029 has 2 divisors, whose sum is σ = 66030. Its totient is φ = 66028.

The previous prime is 65993. The next prime is 66037. The reversal of 66029 is 92066.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36100 + 29929 = 190^2 + 173^2 .

It is a cyclic number.

It is not a de Polignac number, because 66029 - 2¹² = 61933 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 65995 and 66013.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66029.

It is not a weakly prime, because it can be changed into another prime (66089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33014 + 33015.

It is an arithmetic number, because the mean of its divisors is an integer number (33015).

2⁶⁶⁰²⁹ is an apocalyptic number.

It is an amenable number.

66029 is a deficient number, since it is larger than the sum of its proper divisors (1).

66029 is an equidigital number, since it uses as much as digits as its factorization.

66029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 66029 is about 256.9610865481. The cubic root of 66029 is about 40.4183183274.

The spelling of 66029 in words is "sixty-six thousand, twenty-nine".