36585045 has 96 divisors (see below), whose sum is σ = 77206272. Its totient is φ = 15676416.

The previous prime is 36585023. The next prime is 36585047. The reversal of 36585045 is 54058563.

36585045 is a `hidden beast` number, since 36 + 585 + 0 + 45 = 666.

It is not a de Polignac number, because 36585045 - 2⁶ = 36584981 is a prime.

It is a congruent number.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 501129 + ... + 501201.

It is an arithmetic number, because the mean of its divisors is an integer number (804232).

Almost surely, 2^36585045 is an apocalyptic number.

36585045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36585045 is an abundant number, since it is smaller than the sum of its proper divisors (40621227).

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

36585045 is a wasteful number, since it uses less digits than its factorization.

36585045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 36585045 is about 6048.5572659933. The cubic root of 36585045 is about 331.9718035037.

The spelling of 36585045 in words is "thirty-six million, five hundred eighty-five thousand, forty-five".