82613700 has 216 divisors, whose sum is σ = 291939648. Its totient is φ = 19388160.

The previous prime is 82613669. The next prime is 82613743. The reversal of 82613700 is 731628.

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 71 ways as a sum of consecutive naturals, for example, 268947 + ... + 269253.

Almost surely, 2^82613700 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 82613700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145969824).

82613700 is an abundant number, since it is smaller than the sum of its proper divisors (209325948).

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

82613700 is a wasteful number, since it uses less digits than its factorization.

82613700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 82613700 is about 9089.2078862792. The cubic root of 82613700 is about 435.5292804367.

The spelling of 82613700 in words is "eighty-two million, six hundred thirteen thousand, seven hundred".