82555201 has 8 divisors (see below), whose sum is σ = 85976064. Its totient is φ = 79181760.

The previous prime is 82555159. The next prime is 82555223. The reversal of 82555201 is 10255528.

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 82555201 - 2¹⁹ = 82030913 is a prime.

It is a super-2 number, since 2×82555201² = 13630722424300802, which contains 22 as substring.

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 82555201.

It is not an unprimeable number, because it can be changed into a prime (82555301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8281 + ... + 15286.

It is an arithmetic number, because the mean of its divisors is an integer number (10747008).

Almost surely, 2^82555201 is an apocalyptic number.

It is an amenable number.

82555201 is a deficient number, since it is larger than the sum of its proper divisors (3420863).

82555201 is a wasteful number, since it uses less digits than its factorization.

82555201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23711.

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 82555201 is about 9085.9892691990. The cubic root of 82555201 is about 435.4264563150.

It can be divided in two parts, 8255 and 5201, that added together give a square (13456 = 116²).

The spelling of 82555201 in words is "eighty-two million, five hundred fifty-five thousand, two hundred one".