82800251 has 8 divisors (see below), whose sum is σ = 88211664. Its totient is φ = 77448960.

The previous prime is 82800247. The next prime is 82800269. The reversal of 82800251 is 15200828.

82800251 = 850² + 851² + ... + 951².

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 82800251 - 2² = 82800247 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 82800251.

It is not an unprimeable number, because it can be changed into a prime (82805251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12170 + ... + 17711.

It is an arithmetic number, because the mean of its divisors is an integer number (11026458).

Almost surely, 2^82800251 is an apocalyptic number.

82800251 is a deficient number, since it is larger than the sum of its proper divisors (5411413).

82800251 is a wasteful number, since it uses less digits than its factorization.

82800251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30061.

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 82800251 is about 9099.4643248930. The cubic root of 82800251 is about 435.8568586446.

The spelling of 82800251 in words is "eighty-two million, eight hundred thousand, two hundred fifty-one".