83584013 has 8 divisors (see below), whose sum is σ = 84587328. Its totient is φ = 82585024.

The previous prime is 83584009. The next prime is 83584031. The reversal of 83584013 is 31048538.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83584013 - 2² = 83584009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83584513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53045 + ... + 54597.

It is an arithmetic number, because the mean of its divisors is an integer number (10573416).

Almost surely, 2^83584013 is an apocalyptic number.

It is an amenable number.

83584013 is a deficient number, since it is larger than the sum of its proper divisors (1003315).

83584013 is a wasteful number, since it uses less digits than its factorization.

83584013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 83584013 is about 9142.4292723543. The cubic root of 83584013 is about 437.2277716516.

It can be divided in two parts, 835 and 84013, that added together give a palindrome (84848).

The spelling of 83584013 in words is "eighty-three million, five hundred eighty-four thousand, thirteen".