102582 has 24 divisors (see below), whose sum is σ = 229320. Its totient is φ = 33120.

The previous prime is 102563. The next prime is 102587. The reversal of 102582 is 285201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a congruent number.

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

102582 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669 + ... + 807.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2¹⁰²⁵⁸² is an apocalyptic number.

102582 is an abundant number, since it is smaller than the sum of its proper divisors (126738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102582 is a wasteful number, since it uses less digits than its factorization.

102582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102582 is about 320.2842487541. The cubic root of 102582 is about 46.8119846580.

Adding to 102582 its reverse (285201), we get a palindrome (387783).

The spelling of 102582 in words is "one hundred two thousand, five hundred eighty-two".