82813500 has 288 divisors, whose sum is σ = 327075840. Its totient is φ = 17136000.

The previous prime is 82813453. The next prime is 82813517. The reversal of 82813500 is 531828.

It is a happy number.

82813500 is a `hidden beast` number, since 82 + 81 + 3 + 500 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 346381 + ... + 346619.

It is an arithmetic number, because the mean of its divisors is an integer number (1135680).

Almost surely, 2^82813500 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 82813500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

82813500 is an abundant number, since it is smaller than the sum of its proper divisors (244262340).

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

82813500 is a wasteful number, since it uses less digits than its factorization.

82813500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 82813500 is about 9100.1923056604. The cubic root of 82813500 is about 435.8801047881.

It can be divided in two parts, 8281 and 3500, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 82813500 in words is "eighty-two million, eight hundred thirteen thousand, five hundred".