82982600 has 24 divisors (see below), whose sum is σ = 192935010. Its totient is φ = 33192960.

The previous prime is 82982591. The next prime is 82982611. The reversal of 82982600 is 628928.

It can be written as a sum of positive squares in 3 ways, for example, as 59382436 + 23600164 = 7706^2 + 4858^2 .

It is a super-2 number, since 2×82982600² = 13772223805520000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 207257 + ... + 207656.

Almost surely, 2^82982600 is an apocalyptic number.

It is an amenable number.

82982600 is an abundant number, since it is smaller than the sum of its proper divisors (109952410).

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

82982600 is a wasteful number, since it uses less digits than its factorization.

82982600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414929 (or 414920 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 82982600 is about 9109.4785800286. The cubic root of 82982600 is about 436.1765830755.

The spelling of 82982600 in words is "eighty-two million, nine hundred eighty-two thousand, six hundred".