82583535 has 48 divisors (see below), whose sum is σ = 144993888. Its totient is φ = 39997440.

The previous prime is 82583509. The next prime is 82583537. The reversal of 82583535 is 53538528.

It is not a de Polignac number, because 82583535 - 2⁹ = 82583023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82583493 and 82583502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82583537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244887 + ... + 245223.

It is an arithmetic number, because the mean of its divisors is an integer number (3020706).

Almost surely, 2^82583535 is an apocalyptic number.

82583535 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82583535 is a deficient number, since it is larger than the sum of its proper divisors (62410353).

82583535 is a wasteful number, since it uses less digits than its factorization.

82583535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 393 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 82583535 is about 9087.5483492524. The cubic root of 82583535 is about 435.4762652586.

The spelling of 82583535 in words is "eighty-two million, five hundred eighty-three thousand, five hundred thirty-five".