82387261 has 16 divisors (see below), whose sum is σ = 91294848. Its totient is φ = 73728000.

The previous prime is 82387259. The next prime is 82387273. The reversal of 82387261 is 16278328.

It is a 8-Lehmer number, since φ(82387261) divides (82387261-1)⁸.

It is a cyclic number.

It is not a de Polignac number, because 82387261 - 2¹ = 82387259 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 82387261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82387561) 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 15 ways as a sum of consecutive naturals, for example, 320445 + ... + 320701.

It is an arithmetic number, because the mean of its divisors is an integer number (5705928).

Almost surely, 2^82387261 is an apocalyptic number.

It is an amenable number.

82387261 is a deficient number, since it is larger than the sum of its proper divisors (8907587).

82387261 is a wasteful number, since it uses less digits than its factorization.

82387261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612.

The product of its digits is 32256, while the sum is 37.

The square root of 82387261 is about 9076.7428629437. The cubic root of 82387261 is about 435.1309967917.

The spelling of 82387261 in words is "eighty-two million, three hundred eighty-seven thousand, two hundred sixty-one".