66281085 has 40 divisors (see below), whose sum is σ = 127964760. Its totient is φ = 32628096.

The previous prime is 66281077. The next prime is 66281087. The reversal of 66281085 is 58018266.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 962361 + 65318724 = 981^2 + 8082^2 .

It is not a de Polignac number, because 66281085 - 2³ = 66281077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66281087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1030 + ... + 11559.

It is an arithmetic number, because the mean of its divisors is an integer number (3199119).

Almost surely, 2^66281085 is an apocalyptic number.

66281085 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66281085 is a deficient number, since it is larger than the sum of its proper divisors (61683675).

66281085 is a wasteful number, since it uses less digits than its factorization.

66281085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619 (or 12610 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 66281085 is about 8141.3196104808. The cubic root of 66281085 is about 404.6968925485.

The spelling of 66281085 in words is "sixty-six million, two hundred eighty-one thousand, eighty-five".