82754 has 16 divisors (see below), whose sum is σ = 148608. Its totient is φ = 33792.

The previous prime is 82729. The next prime is 82757. The reversal of 82754 is 45728.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (9288).

2⁸²⁷⁵⁴ is an apocalyptic number.

82754 is a deficient number, since it is larger than the sum of its proper divisors (65854).

82754 is a wasteful number, since it uses less digits than its factorization.

82754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289.

The product of its digits is 2240, while the sum is 26.

The square root of 82754 is about 287.6699497688. The cubic root of 82754 is about 43.5775689123.

Subtracting from 82754 its sum of digits (26), we obtain a palindrome (82728).

The spelling of 82754 in words is "eighty-two thousand, seven hundred fifty-four".