82377 has 14 divisors (see below), whose sum is σ = 124602. Its totient is φ = 54432.

The previous prime is 82373. The next prime is 82387. The reversal of 82377 is 77328.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 35721 = 216^2 + 189^2 .

It is not a de Polignac number, because 82377 - 2² = 82373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 8⁵ + 2¹⁵ + 3³ + 7 + 7⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 82377.

It is not an unprimeable number, because it can be changed into a prime (82373) by changing a digit.

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 in 13 ways as a sum of consecutive naturals, for example, 673 + ... + 785.

2⁸²³⁷⁷ is an apocalyptic number.

It is an amenable number.

82377 is a deficient number, since it is larger than the sum of its proper divisors (42225).

82377 is an equidigital number, since it uses as much as digits as its factorization.

82377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 82377 is about 287.0139369438. The cubic root of 82377 is about 43.5112931440.

It can be divided in two parts, 823 and 77, that added together give a square (900 = 30²).

The spelling of 82377 in words is "eighty-two thousand, three hundred seventy-seven".