83640585 has 32 divisors (see below), whose sum is σ = 153354240. Its totient is φ = 38132928.

The previous prime is 83640563. The next prime is 83640587. The reversal of 83640585 is 58504638.

It is a happy number.

It is not a de Polignac number, because 83640585 - 2⁷ = 83640457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83640587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49464 + ... + 51126.

It is an arithmetic number, because the mean of its divisors is an integer number (4792320).

Almost surely, 2^83640585 is an apocalyptic number.

It is an amenable number.

83640585 is a deficient number, since it is larger than the sum of its proper divisors (69713655).

83640585 is a wasteful number, since it uses less digits than its factorization.

83640585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157.

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 83640585 is about 9145.5226750580. The cubic root of 83640585 is about 437.3263920707.

The spelling of 83640585 in words is "eighty-three million, six hundred forty thousand, five hundred eighty-five".