66008331 has 32 divisors (see below), whose sum is σ = 106905600. Its totient is φ = 40072320.

The previous prime is 66008309. The next prime is 66008339. The reversal of 66008331 is 13380066.

It is not a de Polignac number, because 66008331 - 2¹⁵ = 65975563 is a prime.

It is a super-2 number, since 2×66008331² = 8714199522811122, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 66008295 and 66008304.

It is not an unprimeable number, because it can be changed into a prime (66008339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11910 + ... + 16548.

It is an arithmetic number, because the mean of its divisors is an integer number (3340800).

Almost surely, 2^66008331 is an apocalyptic number.

66008331 is a deficient number, since it is larger than the sum of its proper divisors (40897269).

66008331 is a wasteful number, since it uses less digits than its factorization.

66008331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696 (or 4690 counting only the distinct ones).

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

The square root of 66008331 is about 8124.5511260623. The cubic root of 66008331 is about 404.1410051704.

Adding to 66008331 its reverse (13380066), we get a palindrome (79388397).

The spelling of 66008331 in words is "sixty-six million, eight thousand, three hundred thirty-one".