8514 has 24 divisors (see below), whose sum is σ = 20592. Its totient is φ = 2520.

The previous prime is 8513. The next prime is 8521. The reversal of 8514 is 4158.

8514 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (8513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177 + ... + 219.

It is an arithmetic number, because the mean of its divisors is an integer number (858).

2⁸⁵¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10296).

8514 is an abundant number, since it is smaller than the sum of its proper divisors (12078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8514 is a wasteful number, since it uses less digits than its factorization.

8514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 59 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 8514 is about 92.2713389954. The cubic root of 8514 is about 20.4194739071.

Subtracting from 8514 its reverse (4158), we obtain a square (4356 = 66²).

It can be divided in two parts, 85 and 14, that added together give a palindrome (99).

The spelling of 8514 in words is "eight thousand, five hundred fourteen".