82433844 has 18 divisors (see below), whose sum is σ = 208374530. Its totient is φ = 27477936.

The previous prime is 82433831. The next prime is 82433851. The reversal of 82433844 is 44833428.

It can be written as a sum of positive squares in only one way, i.e., 53144100 + 29289744 = 7290^2 + 5412^2 .

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: 2289829 = 82433844 / (8 + 2 + 4 + 3 + 3 + 8 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 82433799 and 82433808.

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, 1144879 + ... + 1144950.

Almost surely, 2^82433844 is an apocalyptic number.

It is an amenable number.

82433844 is an abundant number, since it is smaller than the sum of its proper divisors (125940686).

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

82433844 is a wasteful number, since it uses less digits than its factorization.

82433844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289839 (or 2289834 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 82433844 is about 9079.3085639822. The cubic root of 82433844 is about 435.2129912162.

The spelling of 82433844 in words is "eighty-two million, four hundred thirty-three thousand, eight hundred forty-four".