82382900 has 18 divisors (see below), whose sum is σ = 178771110. Its totient is φ = 32953120.

The previous prime is 82382873. The next prime is 82382929. The reversal of 82382900 is 928328.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1993744 + 80389156 = 1412^2 + 8966^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 411815 + ... + 412014.

Almost surely, 2^82382900 is an apocalyptic number.

It is an amenable number.

82382900 is an abundant number, since it is smaller than the sum of its proper divisors (96388210).

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

82382900 is a wasteful number, since it uses less digits than its factorization.

82382900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823843 (or 823836 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 82382900 is about 9076.5026304188. The cubic root of 82382900 is about 435.1233190685.

The spelling of 82382900 in words is "eighty-two million, three hundred eighty-two thousand, nine hundred".