66629 has 2 divisors, whose sum is σ = 66630. Its totient is φ = 66628.

The previous prime is 66617. The next prime is 66643. The reversal of 66629 is 92666.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49729 + 16900 = 223^2 + 130^2 .

It is a cyclic number.

It is not a de Polignac number, because 66629 - 2⁸ = 66373 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33314 + 33315.

It is an arithmetic number, because the mean of its divisors is an integer number (33315).

2⁶⁶⁶²⁹ is an apocalyptic number.

It is an amenable number.

66629 is a deficient number, since it is larger than the sum of its proper divisors (1).

66629 is an equidigital number, since it uses as much as digits as its factorization.

66629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 29.

The square root of 66629 is about 258.1259382550. The cubic root of 66629 is about 40.5403753226.

It can be divided in two parts, 66 and 629, that multiplied together give a palindrome (41514).

The spelling of 66629 in words is "sixty-six thousand, six hundred twenty-nine".