82758 has 16 divisors (see below), whose sum is σ = 178416. Its totient is φ = 25440.

The previous prime is 82757. The next prime is 82759. The reversal of 82758 is 85728.

It is an interprime number because it is at equal distance from previous prime (82757) and next prime (82759).

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453 + ... + 608.

It is an arithmetic number, because the mean of its divisors is an integer number (11151).

2⁸²⁷⁵⁸ is an apocalyptic number.

82758 is an abundant number, since it is smaller than the sum of its proper divisors (95658).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89208).

82758 is a wasteful number, since it uses less digits than its factorization.

82758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079.

The product of its digits is 4480, while the sum is 30.

The square root of 82758 is about 287.6769020968. The cubic root of 82758 is about 43.5782710233.

Subtracting from 82758 its sum of digits (30), we obtain a palindrome (82728).

The spelling of 82758 in words is "eighty-two thousand, seven hundred fifty-eight".