66802131 has 32 divisors (see below), whose sum is σ = 110899200. Its totient is φ = 39385440.

The previous prime is 66802121. The next prime is 66802147. The reversal of 66802131 is 13120866.

It is not a de Polignac number, because 66802131 - 2¹⁰ = 66801107 is a prime.

It is a super-2 number, since 2×66802131² = 8925049412282322, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 66802095 and 66802104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66802121) 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 31 ways as a sum of consecutive naturals, for example, 7950 + ... + 14028.

It is an arithmetic number, because the mean of its divisors is an integer number (3465600).

Almost surely, 2^66802131 is an apocalyptic number.

66802131 is a deficient number, since it is larger than the sum of its proper divisors (44097069).

66802131 is a wasteful number, since it uses less digits than its factorization.

66802131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 66802131 is about 8173.2570619062. The cubic root of 66802131 is about 405.7545877075.

Adding to 66802131 its reverse (13120866), we get a palindrome (79922997).

The spelling of 66802131 in words is "sixty-six million, eight hundred two thousand, one hundred thirty-one".