82846405 has 8 divisors (see below), whose sum is σ = 99735192. Its totient is φ = 66064128.

The previous prime is 82846399. The next prime is 82846411. The reversal of 82846405 is 50464828.

It is a Cunningham number, because it is equal to 9102²+1.

It is an interprime number because it is at equal distance from previous prime (82846399) and next prime (82846411).

It can be written as a sum of positive squares in 4 ways, for example, as 527076 + 82319329 = 726^2 + 9073^2 .

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 82846405 - 2⁷ = 82846277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24904 + ... + 28033.

It is an arithmetic number, because the mean of its divisors is an integer number (12466899).

Almost surely, 2^82846405 is an apocalyptic number.

It is an amenable number.

82846405 is a deficient number, since it is larger than the sum of its proper divisors (16888787).

82846405 is a wasteful number, since it uses less digits than its factorization.

82846405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53255.

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 82846405 is about 9102.0000549330. Note that the first 4 decimals coincide. The cubic root of 82846405 is about 435.9378278069.

The spelling of 82846405 in words is "eighty-two million, eight hundred forty-six thousand, four hundred five".