66117753 has 12 divisors (see below), whose sum is σ = 102850020. Its totient is φ = 40687776.

The previous prime is 66117691. The next prime is 66117757. The reversal of 66117753 is 35771166.

It can be written as a sum of positive squares in 2 ways, for example, as 24088464 + 42029289 = 4908^2 + 6483^2 .

It is not a de Polignac number, because 66117753 - 2¹⁷ = 65986681 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66117757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282438 + ... + 282671.

It is an arithmetic number, because the mean of its divisors is an integer number (8570835).

Almost surely, 2^66117753 is an apocalyptic number.

It is an amenable number.

66117753 is a deficient number, since it is larger than the sum of its proper divisors (36732267).

66117753 is a wasteful number, since it uses less digits than its factorization.

66117753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565128 (or 565125 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 66117753 is about 8131.2823711884. The cubic root of 66117753 is about 404.3641967146.

The spelling of 66117753 in words is "sixty-six million, one hundred seventeen thousand, seven hundred fifty-three".