8725 has 6 divisors (see below), whose sum is σ = 10850. Its totient is φ = 6960.

The previous prime is 8719. The next prime is 8731. The reversal of 8725 is 5278.

It is an interprime number because it is at equal distance from previous prime (8719) and next prime (8731).

It can be written as a sum of positive squares in 3 ways, for example, as 1156 + 7569 = 34^2 + 87^2 .

It is not a de Polignac number, because 8725 - 2⁵ = 8693 is a prime.

It is a super-2 number, since 2×8725² = 152251250, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 8696 and 8705.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 150 + ... + 199.

2⁸⁷²⁵ is an apocalyptic number.

It is an amenable number.

8725 is a deficient number, since it is larger than the sum of its proper divisors (2125).

8725 is a wasteful number, since it uses less digits than its factorization.

8725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 354 counting only the distinct ones).

The product of its digits is 560, while the sum is 22.

The square root of 8725 is about 93.4077084613. The cubic root of 8725 is about 20.5867826106.

The spelling of 8725 in words is "eight thousand, seven hundred twenty-five".