82155128 has 24 divisors (see below), whose sum is σ = 169319640. Its totient is φ = 37342800.

The previous prime is 82155121. The next prime is 82155131.

It is a happy number.

82155128 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82155094 and 82155103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82155121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41468 + ... + 43403.

It is an arithmetic number, because the mean of its divisors is an integer number (7054985).

Almost surely, 2^82155128 is an apocalyptic number.

82155128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82155128 is an abundant number, since it is smaller than the sum of its proper divisors (87164512).

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

82155128 is a wasteful number, since it uses less digits than its factorization.

82155128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84899 (or 84884 counting only the distinct ones).

The product of its digits is 6400, while the sum is 32.

The square root of 82155128 is about 9063.9466017845. The cubic root of 82155128 is about 434.7219397052.

The spelling of 82155128 in words is "eighty-two million, one hundred fifty-five thousand, one hundred twenty-eight".