66627261 has 6 divisors (see below), whose sum is σ = 96239390. Its totient is φ = 44418168.

The previous prime is 66627229. The next prime is 66627293. The reversal of 66627261 is 16272666.

It is an interprime number because it is at equal distance from previous prime (66627229) and next prime (66627293).

It can be written as a sum of positive squares in only one way, i.e., 48734361 + 17892900 = 6981^2 + 4230^2 .

It is not a de Polignac number, because 66627261 - 2⁵ = 66627229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66627221) 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 5 ways as a sum of consecutive naturals, for example, 3701506 + ... + 3701523.

Almost surely, 2^66627261 is an apocalyptic number.

It is an amenable number.

66627261 is a deficient number, since it is larger than the sum of its proper divisors (29612129).

66627261 is a wasteful number, since it uses less digits than its factorization.

66627261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7403035 (or 7403032 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 66627261 is about 8162.5523581782. The cubic root of 66627261 is about 405.4002262174.

The spelling of 66627261 in words is "sixty-six million, six hundred twenty-seven thousand, two hundred sixty-one".