9516 has 24 divisors (see below), whose sum is σ = 24304. Its totient is φ = 2880.

The previous prime is 9511. The next prime is 9521. The reversal of 9516 is 6159.

9516 = T₁₃ + T₁₄ + ... + T₃₈.

It is an interprime number because it is at equal distance from previous prime (9511) and next prime (9521).

9516 is an undulating number in base 11.

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 9492 and 9501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 186.

2⁹⁵¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12152).

9516 is an abundant number, since it is smaller than the sum of its proper divisors (14788).

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

9516 is a wasteful number, since it uses less digits than its factorization.

9516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 79 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 9516 is about 97.5499871861. The cubic root of 9516 is about 21.1910012835.

It can be divided in two parts, 95 and 16, that added together give a palindrome (111).

The spelling of 9516 in words is "nine thousand, five hundred sixteen".