8625 has 16 divisors (see below), whose sum is σ = 14976. Its totient is φ = 4400.

The previous prime is 8623. The next prime is 8627. The reversal of 8625 is 5268.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8623) and next prime (8627).

It is not a de Polignac number, because 8625 - 2¹ = 8623 is a prime.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (8623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (936).

2⁸⁶²⁵ is an apocalyptic number.

8625 is the 50-th nonagonal number.

It is an amenable number.

8625 is a deficient number, since it is larger than the sum of its proper divisors (6351).

8625 is a wasteful number, since it uses less digits than its factorization.

8625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 31 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 8625 is about 92.8708781050. The cubic root of 8625 is about 20.5078296485.

Adding to 8625 its sum of digits (21), we get a triangular number (8646 = T₁₃₁).

It can be divided in two parts, 86 and 25, that added together give a palindrome (111).

The spelling of 8625 in words is "eight thousand, six hundred twenty-five".