8501 has 2 divisors, whose sum is σ = 8502. Its totient is φ = 8500.

The previous prime is 8467. The next prime is 8513. The reversal of 8501 is 1058.

8501 is nontrivially palindromic in base 7.

8501 is a canyon number because its digits go down and then up.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5476 + 3025 = 74^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 8501 - 2¹⁰ = 7477 is a prime.

It is a Chen prime.

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

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8521) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4250 + 4251.

It is an arithmetic number, because the mean of its divisors is an integer number (4251).

2⁸⁵⁰¹ is an apocalyptic number.

It is an amenable number.

8501 is a deficient number, since it is larger than the sum of its proper divisors (1).

8501 is an equidigital number, since it uses as much as digits as its factorization.

8501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 8501 is about 92.2008676749. The cubic root of 8501 is about 20.4090758027.

Adding to 8501 its sum of digits (14), we get a triangular number (8515 = T₁₃₀).

Adding to 8501 its reverse (1058), we get a palindrome (9559).

The spelling of 8501 in words is "eight thousand, five hundred one".