82772 has 6 divisors (see below), whose sum is σ = 144858. Its totient is φ = 41384.

The previous prime is 82763. The next prime is 82781. The reversal of 82772 is 27728.

It is an interprime number because it is at equal distance from previous prime (82763) and next prime (82781).

It can be written as a sum of positive squares in only one way, i.e., 80656 + 2116 = 284^2 + 46^2 .

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10343 + ... + 10350.

It is an arithmetic number, because the mean of its divisors is an integer number (24143).

2⁸²⁷⁷² is an apocalyptic number.

It is an amenable number.

82772 is a deficient number, since it is larger than the sum of its proper divisors (62086).

82772 is a wasteful number, since it uses less digits than its factorization.

82772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20697 (or 20695 counting only the distinct ones).

The product of its digits is 1568, while the sum is 26.

The square root of 82772 is about 287.7012339216. The cubic root of 82772 is about 43.5807282334.

The spelling of 82772 in words is "eighty-two thousand, seven hundred seventy-two".