66617101 has 12 divisors (see below), whose sum is σ = 71075412. Its totient is φ = 62425088.

The previous prime is 66617093. The next prime is 66617107. The reversal of 66617101 is 10171666.

It can be written as a sum of positive squares in 6 ways, for example, as 763876 + 65853225 = 874^2 + 8115^2 .

It is not a de Polignac number, because 66617101 - 2³ = 66617093 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 66617101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66617107) 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 11 ways as a sum of consecutive naturals, for example, 101691 + ... + 102343.

It is an arithmetic number, because the mean of its divisors is an integer number (5922951).

Almost surely, 2^66617101 is an apocalyptic number.

It is an amenable number.

66617101 is a deficient number, since it is larger than the sum of its proper divisors (4458311).

66617101 is a wasteful number, since it uses less digits than its factorization.

66617101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 66617101 is about 8161.9299800966. The cubic root of 66617101 is about 405.3796186582.

Adding to 66617101 its reverse (10171666), we get a palindrome (76788767).

The spelling of 66617101 in words is "sixty-six million, six hundred seventeen thousand, one hundred one".