82614 has 24 divisors (see below), whose sum is σ = 192888. Its totient is φ = 23520.

The previous prime is 82613. The next prime is 82619. The reversal of 82614 is 41628.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (8037).

2⁸²⁶¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96444).

82614 is an abundant number, since it is smaller than the sum of its proper divisors (110274).

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

82614 is a wasteful number, since it uses less digits than its factorization.

82614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 82614 is about 287.4265123471. The cubic root of 82614 is about 43.5529807624.

It can be divided in two parts, 82 and 614, that added together give a palindrome (696).

The spelling of 82614 in words is "eighty-two thousand, six hundred fourteen".