36585042 has 32 divisors (see below), whose sum is σ = 82228608. Its totient is φ = 10766976.

The previous prime is 36585023. The next prime is 36585047. The reversal of 36585042 is 24058563.

36585042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36584994 and 36585012.

It is not an unprimeable number, because it can be changed into a prime (36585047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8403 + ... + 11990.

It is an arithmetic number, because the mean of its divisors is an integer number (2569644).

Almost surely, 2^36585042 is an apocalyptic number.

36585042 is an abundant number, since it is smaller than the sum of its proper divisors (45643566).

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

36585042 is a wasteful number, since it uses less digits than its factorization.

36585042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20434.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 36585042 is about 6048.5570180002. The cubic root of 36585042 is about 331.9717944297.

The spelling of 36585042 in words is "thirty-six million, five hundred eighty-five thousand, forty-two".