82566251 has 8 divisors (see below), whose sum is σ = 88258464. Its totient is φ = 77049280.

The previous prime is 82566241. The next prime is 82566257. The reversal of 82566251 is 15266528.

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 82566251 - 2¹⁴ = 82549867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82566257) 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 7 ways as a sum of consecutive naturals, for example, 42836 + ... + 44721.

It is an arithmetic number, because the mean of its divisors is an integer number (11032308).

Almost surely, 2^82566251 is an apocalyptic number.

82566251 is a deficient number, since it is larger than the sum of its proper divisors (5692213).

82566251 is a wasteful number, since it uses less digits than its factorization.

82566251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87621.

The product of its digits is 28800, while the sum is 35.

The square root of 82566251 is about 9086.5973279330. The cubic root of 82566251 is about 435.4458827014.

It can be divided in two parts, 825 and 66251, that added together give a palindrome (67076).

The spelling of 82566251 in words is "eighty-two million, five hundred sixty-six thousand, two hundred fifty-one".