82583813 has 16 divisors (see below), whose sum is σ = 90994176. Its totient is φ = 74485440.

The previous prime is 82583797. The next prime is 82583819. The reversal of 82583813 is 31838528.

It is a cyclic number.

It is not a de Polignac number, because 82583813 - 2⁴ = 82583797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82583819) 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, 176606 + ... + 177072.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2^82583813 is an apocalyptic number.

It is an amenable number.

82583813 is a deficient number, since it is larger than the sum of its proper divisors (8410363).

82583813 is a wasteful number, since it uses less digits than its factorization.

82583813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764.

The product of its digits is 46080, while the sum is 38.

The square root of 82583813 is about 9087.5636448940. The cubic root of 82583813 is about 435.4767539042.

The spelling of 82583813 in words is "eighty-two million, five hundred eighty-three thousand, eight hundred thirteen".