82805364 has 18 divisors (see below), whose sum is σ = 209313650. Its totient is φ = 27601776.

The previous prime is 82805357. The next prime is 82805381. The reversal of 82805364 is 46350828.

It can be written as a sum of positive squares in only one way, i.e., 69056100 + 13749264 = 8310^2 + 3708^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2300149 = 82805364 / (8 + 2 + 8 + 0 + 5 + 3 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1150039 + ... + 1150110.

Almost surely, 2^82805364 is an apocalyptic number.

It is an amenable number.

82805364 is an abundant number, since it is smaller than the sum of its proper divisors (126508286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82805364 is a wasteful number, since it uses less digits than its factorization.

82805364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300159 (or 2300154 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 82805364 is about 9099.7452711601. The cubic root of 82805364 is about 435.8658299953.

The spelling of 82805364 in words is "eighty-two million, eight hundred five thousand, three hundred sixty-four".