66122029 has 2 divisors, whose sum is σ = 66122030. Its totient is φ = 66122028.

The previous prime is 66122011. The next prime is 66122047. The reversal of 66122029 is 92022166.

It is a balanced prime because it is at equal distance from previous prime (66122011) and next prime (66122047).

It can be written as a sum of positive squares in only one way, i.e., 58293225 + 7828804 = 7635^2 + 2798^2 .

It is a cyclic number.

It is not a de Polignac number, because 66122029 - 2⁷ = 66121901 is a prime.

It is equal to p_3902941 and since 66122029 and 3902941 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 66121988 and 66122006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66122009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33061014 + 33061015.

It is an arithmetic number, because the mean of its divisors is an integer number (33061015).

Almost surely, 2^66122029 is an apocalyptic number.

It is an amenable number.

66122029 is a deficient number, since it is larger than the sum of its proper divisors (1).

66122029 is an equidigital number, since it uses as much as digits as its factorization.

66122029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 66122029 is about 8131.5453020936. The cubic root of 66122029 is about 404.3729136071.

The spelling of 66122029 in words is "sixty-six million, one hundred twenty-two thousand, twenty-nine".