82725 has 12 divisors (see below), whose sum is σ = 136896. Its totient is φ = 44080.

The previous prime is 82723. The next prime is 82727. The reversal of 82725 is 52728.

82725 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (82723) and next prime (82727).

It is not a de Polignac number, because 82725 - 2¹ = 82723 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82695 and 82704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82721) 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 11 ways as a sum of consecutive naturals, for example, 477 + ... + 626.

It is an arithmetic number, because the mean of its divisors is an integer number (11408).

2⁸²⁷²⁵ is an apocalyptic number.

It is an amenable number.

82725 is a deficient number, since it is larger than the sum of its proper divisors (54171).

82725 is a wasteful number, since it uses less digits than its factorization.

82725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1111 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 82725 is about 287.6195403654. The cubic root of 82725 is about 43.5724779312.

Adding to 82725 its product of digits (1120), we get a triangular number (83845 = T₄₀₉).

The spelling of 82725 in words is "eighty-two thousand, seven hundred twenty-five".