36082000 has 40 divisors (see below), whose sum is σ = 87251112. Its totient is φ = 14432000.

The previous prime is 36081967. The next prime is 36082019. The reversal of 36082000 is 28063.

It can be written as a sum of positive squares in 4 ways, for example, as 8456464 + 27625536 = 2908^2 + 5256^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7021 + ... + 11020.

Almost surely, 2^36082000 is an apocalyptic number.

It is an amenable number.

36082000 is an abundant number, since it is smaller than the sum of its proper divisors (51169112).

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

36082000 is a wasteful number, since it uses less digits than its factorization.

36082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18064 (or 18048 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 36082000 is about 6006.8294465550. The cubic root of 36082000 is about 330.4432366660.

The spelling of 36082000 in words is "thirty-six million, eighty-two thousand".