82954 has 16 divisors (see below), whose sum is σ = 136800. Its totient is φ = 37584.

The previous prime is 82939. The next prime is 82963. The reversal of 82954 is 45928.

It is a happy number.

It is a super-2 number, since 2×82954² = 13762732232, which contains 22 as substring.

It is a plaindrome in base 14.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 1377 + ... + 1435.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2⁸²⁹⁵⁴ is an apocalyptic number.

82954 is a deficient number, since it is larger than the sum of its proper divisors (53846).

82954 is a wasteful number, since it uses less digits than its factorization.

82954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117.

The product of its digits is 2880, while the sum is 28.

The square root of 82954 is about 288.0173605879. The cubic root of 82954 is about 43.6126467816.

It can be divided in two parts, 8 and 2954, that multiplied together give a palindrome (23632).

The spelling of 82954 in words is "eighty-two thousand, nine hundred fifty-four".