36082984 has 64 divisors (see below), whose sum is σ = 80294400. Its totient is φ = 14883264.

The previous prime is 36082973. The next prime is 36082997. The reversal of 36082984 is 48928063.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221287 + ... + 221449.

It is an arithmetic number, because the mean of its divisors is an integer number (1254600).

Almost surely, 2^36082984 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 36082984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40147200).

36082984 is an abundant number, since it is smaller than the sum of its proper divisors (44211416).

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

36082984 is a wasteful number, since it uses less digits than its factorization.

36082984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 36082984 is about 6006.9113527669. The cubic root of 36082984 is about 330.4462405016.

The spelling of 36082984 in words is "thirty-six million, eighty-two thousand, nine hundred eighty-four".