66101633 has 8 divisors (see below), whose sum is σ = 71841000. Its totient is φ = 60455808.

The previous prime is 66101617. The next prime is 66101663. The reversal of 66101633 is 33610166.

It can be written as a sum of positive squares in 4 ways, for example, as 8690704 + 57410929 = 2948^2 + 7577^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66101633 - 2⁴ = 66101617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66101663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21908 + ... + 24741.

It is an arithmetic number, because the mean of its divisors is an integer number (8980125).

Almost surely, 2^66101633 is an apocalyptic number.

It is an amenable number.

66101633 is a deficient number, since it is larger than the sum of its proper divisors (5739367).

66101633 is a wasteful number, since it uses less digits than its factorization.

66101633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46771.

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 66101633 is about 8130.2910772001. The cubic root of 66101633 is about 404.3313317106.

Adding to 66101633 its reverse (33610166), we get a palindrome (99711799).

It can be divided in two parts, 6610163 and 3, that added together give a palindrome (6610166).

The spelling of 66101633 in words is "sixty-six million, one hundred one thousand, six hundred thirty-three".