66838529 has 8 divisors (see below), whose sum is σ = 70465920. Its totient is φ = 63271296.

The previous prime is 66838507. The next prime is 66838531. The reversal of 66838529 is 92583866.

It is a happy number.

66838529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66838529 - 2⁸ = 66838273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66838549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12749 + ... + 17210.

It is an arithmetic number, because the mean of its divisors is an integer number (8808240).

It is a Proth number, since it is equal to 8159 ⋅ 2¹³ + 1 and 8159 < 2¹³.

Almost surely, 2^66838529 is an apocalyptic number.

It is an amenable number.

66838529 is a deficient number, since it is larger than the sum of its proper divisors (3627391).

66838529 is a wasteful number, since it uses less digits than its factorization.

66838529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30079.

The product of its digits is 622080, while the sum is 47.

The square root of 66838529 is about 8175.4834107837. The cubic root of 66838529 is about 405.8282678620.

The spelling of 66838529 in words is "sixty-six million, eight hundred thirty-eight thousand, five hundred twenty-nine".