66307131 has 24 divisors (see below), whose sum is σ = 109986240. Its totient is φ = 38070000.

The previous prime is 66307117. The next prime is 66307133. The reversal of 66307131 is 13170366.

It is not a de Polignac number, because 66307131 - 2¹⁷ = 66176059 is a prime.

It is a super-2 number, since 2×66307131² = 8793271242902322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66307095 and 66307104.

It is not an unprimeable number, because it can be changed into a prime (66307133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15745 + ... + 19506.

It is an arithmetic number, because the mean of its divisors is an integer number (4582760).

Almost surely, 2^66307131 is an apocalyptic number.

66307131 is a deficient number, since it is larger than the sum of its proper divisors (43679109).

66307131 is a wasteful number, since it uses less digits than its factorization.

66307131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35287 (or 35284 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 66307131 is about 8142.9190711931. The cubic root of 66307131 is about 404.7498958794.

Adding to 66307131 its reverse (13170366), we get a palindrome (79477497).

The spelling of 66307131 in words is "sixty-six million, three hundred seven thousand, one hundred thirty-one".