66021629 has 2 divisors, whose sum is σ = 66021630. Its totient is φ = 66021628.

The previous prime is 66021611. The next prime is 66021647. The reversal of 66021629 is 92612066.

It is a balanced prime because it is at equal distance from previous prime (66021611) and next prime (66021647).

It can be written as a sum of positive squares in only one way, i.e., 63840100 + 2181529 = 7990^2 + 1477^2 .

It is a cyclic number.

It is not a de Polignac number, because 66021629 - 2²⁰ = 64973053 is a prime.

It is a super-3 number, since 3×66021629³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66021595 and 66021604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66020629) 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, 33010814 + 33010815.

It is an arithmetic number, because the mean of its divisors is an integer number (33010815).

Almost surely, 2^66021629 is an apocalyptic number.

It is an amenable number.

66021629 is a deficient number, since it is larger than the sum of its proper divisors (1).

66021629 is an equidigital number, since it uses as much as digits as its factorization.

66021629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 66021629 is about 8125.3694685226. The cubic root of 66021629 is about 404.1681426854.

The spelling of 66021629 in words is "sixty-six million, twenty-one thousand, six hundred twenty-nine".