83506581 has 12 divisors (see below), whose sum is σ = 121320108. Its totient is φ = 55348224.

The previous prime is 83506571. The next prime is 83506597. The reversal of 83506581 is 18560538.

It can be written as a sum of positive squares in 2 ways, for example, as 45684081 + 37822500 = 6759^2 + 6150^2 .

It is not a de Polignac number, because 83506581 - 2¹⁹ = 82982293 is a prime.

It is a super-2 number, since 2×83506581² = 13946698140619122, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83506531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25260 + ... + 28373.

It is an arithmetic number, because the mean of its divisors is an integer number (10110009).

Almost surely, 2^83506581 is an apocalyptic number.

It is an amenable number.

83506581 is a deficient number, since it is larger than the sum of its proper divisors (37813527).

83506581 is a wasteful number, since it uses less digits than its factorization.

83506581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53812 (or 53809 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 83506581 is about 9138.1935304523. The cubic root of 83506581 is about 437.0927144020.

The spelling of 83506581 in words is "eighty-three million, five hundred six thousand, five hundred eighty-one".