66038301 has 16 divisors (see below), whose sum is σ = 111811200. Its totient is φ = 37736064.

The previous prime is 66038299. The next prime is 66038317. The reversal of 66038301 is 10383066.

It is not a de Polignac number, because 66038301 - 2¹ = 66038299 is a prime.

It is a super-2 number, since 2×66038301² = 8722114397933202, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66038321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174516 + ... + 174893.

It is an arithmetic number, because the mean of its divisors is an integer number (6988200).

Almost surely, 2^66038301 is an apocalyptic number.

It is an amenable number.

66038301 is a deficient number, since it is larger than the sum of its proper divisors (45772899).

66038301 is a wasteful number, since it uses less digits than its factorization.

66038301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349425 (or 349419 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 66038301 is about 8126.3953263424. The cubic root of 66038301 is about 404.2021604473.

The spelling of 66038301 in words is "sixty-six million, thirty-eight thousand, three hundred one".