66582951 has 8 divisors (see below), whose sum is σ = 88817280. Its totient is φ = 44368632.

The previous prime is 66582917. The next prime is 66582979. The reversal of 66582951 is 15928566.

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

It is not a de Polignac number, because 66582951 - 2¹⁴ = 66566567 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66582991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6630 + ... + 13308.

It is an arithmetic number, because the mean of its divisors is an integer number (11102160).

Almost surely, 2^66582951 is an apocalyptic number.

66582951 is a deficient number, since it is larger than the sum of its proper divisors (22234329).

66582951 is a wasteful number, since it uses less digits than its factorization.

66582951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10005.

The product of its digits is 129600, while the sum is 42.

The square root of 66582951 is about 8159.8376822091. The cubic root of 66582951 is about 405.3103367470.

The spelling of 66582951 in words is "sixty-six million, five hundred eighty-two thousand, nine hundred fifty-one".