82876248 has 216 divisors, whose sum is σ = 284766300. Its totient is φ = 21700224.

The previous prime is 82876231. The next prime is 82876273. The reversal of 82876248 is 84267828.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 53 ways as a sum of consecutive naturals, for example, 596163 + ... + 596301.

Almost surely, 2^82876248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82876248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142383150).

82876248 is an abundant number, since it is smaller than the sum of its proper divisors (201890052).

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

82876248 is a wasteful number, since it uses less digits than its factorization.

82876248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 164 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 82876248 is about 9103.6392722911. The cubic root of 82876248 is about 435.9901661503.

It can be divided in two parts, 8287 and 6248, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 82876248 in words is "eighty-two million, eight hundred seventy-six thousand, two hundred forty-eight".