102583 has 6 divisors (see below), whose sum is σ = 111264. Its totient is φ = 94536.

The previous prime is 102563. The next prime is 102587. The reversal of 102583 is 385201.

It is a happy number.

It is not a de Polignac number, because 102583 - 2⁵ = 102551 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102587) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135 + ... + 472.

It is an arithmetic number, because the mean of its divisors is an integer number (18544).

2¹⁰²⁵⁸³ is an apocalyptic number.

102583 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102583 is a deficient number, since it is larger than the sum of its proper divisors (8681).

102583 is an equidigital number, since it uses as much as digits as its factorization.

102583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 102583 is about 320.2858098636. The cubic root of 102583 is about 46.8121367700.

Adding to 102583 its reverse (385201), we get a palindrome (487784).

The spelling of 102583 in words is "one hundred two thousand, five hundred eighty-three".