83580049 has 16 divisors (see below), whose sum is σ = 97833600. Its totient is φ = 69922944.

The previous prime is 83580037. The next prime is 83580067. The reversal of 83580049 is 94008538.

It is not a de Polignac number, because 83580049 - 2¹⁵ = 83547281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83580019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64197 + ... + 65485.

It is an arithmetic number, because the mean of its divisors is an integer number (6114600).

Almost surely, 2^83580049 is an apocalyptic number.

It is an amenable number.

83580049 is a deficient number, since it is larger than the sum of its proper divisors (14253551).

83580049 is a wasteful number, since it uses less digits than its factorization.

83580049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 83580049 is about 9142.2124783884. The cubic root of 83580049 is about 437.2208596508.

The spelling of 83580049 in words is "eighty-three million, five hundred eighty thousand, forty-nine".