83484585 has 24 divisors (see below), whose sum is σ = 144934920. Its totient is φ = 44454912.

The previous prime is 83484571. The next prime is 83484601. The reversal of 83484585 is 58548438.

It can be written as a sum of positive squares in 4 ways, for example, as 8003241 + 75481344 = 2829^2 + 8688^2 .

It is not a de Polignac number, because 83484585 - 2⁵ = 83484553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 83484585.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40807 + ... + 42803.

It is an arithmetic number, because the mean of its divisors is an integer number (6038955).

Almost surely, 2^83484585 is an apocalyptic number.

It is an amenable number.

83484585 is a deficient number, since it is larger than the sum of its proper divisors (61450335).

83484585 is a wasteful number, since it uses less digits than its factorization.

83484585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2934 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 83484585 is about 9136.9899310440. The cubic root of 83484585 is about 437.0543336520.

The spelling of 83484585 in words is "eighty-three million, four hundred eighty-four thousand, five hundred eighty-five".