82583137 has 8 divisors (see below), whose sum is σ = 101640896. Its totient is φ = 65340432.

The previous prime is 82583129. The next prime is 82583141. The reversal of 82583137 is 73138528.

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 82583137 - 2³ = 82583129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82583096 and 82583105.

It is not an unprimeable number, because it can be changed into a prime (82583197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453663 + ... + 453844.

It is an arithmetic number, because the mean of its divisors is an integer number (12705112).

Almost surely, 2^82583137 is an apocalyptic number.

It is an amenable number.

82583137 is a deficient number, since it is larger than the sum of its proper divisors (19057759).

82583137 is a wasteful number, since it uses less digits than its factorization.

82583137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907527.

The product of its digits is 40320, while the sum is 37.

The square root of 82583137 is about 9087.5264511307. The cubic root of 82583137 is about 435.4755656848.

The spelling of 82583137 in words is "eighty-two million, five hundred eighty-three thousand, one hundred thirty-seven".