9416 has 16 divisors (see below), whose sum is σ = 19440. Its totient is φ = 4240.

The previous prime is 9413. The next prime is 9419. The reversal of 9416 is 6149.

9416 = T₂₆ + T₂₇ + ... + T₄₁.

It is an interprime number because it is at equal distance from previous prime (9413) and next prime (9419).

It is a super-2 number, since 2×9416² = 177322112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9413) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 35 + ... + 141.

It is an arithmetic number, because the mean of its divisors is an integer number (1215).

2⁹⁴¹⁶ 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 9416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720).

9416 is an abundant number, since it is smaller than the sum of its proper divisors (10024).

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

9416 is a wasteful number, since it uses less digits than its factorization.

9416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 9416 is about 97.0360757657. The cubic root of 9416 is about 21.1165103662.

The spelling of 9416 in words is "nine thousand, four hundred sixteen".