82962 has 24 divisors (see below), whose sum is σ = 196560. Its totient is φ = 25080.

The previous prime is 82939. The next prime is 82963. The reversal of 82962 is 26928.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (82963) by changing a digit.

82962 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2⁸²⁹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280).

82962 is an abundant number, since it is smaller than the sum of its proper divisors (113598).

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

82962 is a wasteful number, since it uses less digits than its factorization.

82962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 435 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 82962 is about 288.0312483048. The cubic root of 82962 is about 43.6140487230.

The spelling of 82962 in words is "eighty-two thousand, nine hundred sixty-two".