82938 has 16 divisors (see below), whose sum is σ = 173376. Its totient is φ = 26400.

The previous prime is 82913. The next prime is 82939. The reversal of 82938 is 83928.

82938 is nontrivially palindromic in base 14.

It is a Curzon number.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (82939) 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, 163 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (10836).

2⁸²⁹³⁸ is an apocalyptic number.

82938 is an abundant number, since it is smaller than the sum of its proper divisors (90438).

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 (86688).

82938 is a wasteful number, since it uses less digits than its factorization.

82938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629.

The product of its digits is 3456, while the sum is 30.

The square root of 82938 is about 287.9895831449. The cubic root of 82938 is about 43.6098426282.

Subtracting 82938 from its reverse (83928), we obtain a triangular number (990 = T₄₄).

The spelling of 82938 in words is "eighty-two thousand, nine hundred thirty-eight".