82055124 has 36 divisors (see below), whose sum is σ = 219619764. Its totient is φ = 25742592.

The previous prime is 82055089. The next prime is 82055143. The reversal of 82055124 is 42155028.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76003524 + 6051600 = 8718^2 + 2460^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 66427 + ... + 67650.

It is an arithmetic number, because the mean of its divisors is an integer number (6100549).

Almost surely, 2^82055124 is an apocalyptic number.

It is an amenable number.

82055124 is an abundant number, since it is smaller than the sum of its proper divisors (137564640).

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

82055124 is a wasteful number, since it uses less digits than its factorization.

82055124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134104 (or 134099 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 82055124 is about 9058.4283405015. The cubic root of 82055124 is about 434.5454784766.

The spelling of 82055124 in words is "eighty-two million, fifty-five thousand, one hundred twenty-four".