9853164 has 84 divisors (see below), whose sum is σ = 26931520. Its totient is φ = 3149280.

The previous prime is 9853159. The next prime is 9853169. The reversal of 9853164 is 4613589.

9853164 = T₁₈₅ + T₁₈₆ + ... + T₄₀₂.

9853164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9853159) and next prime (9853169).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (25920) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9853169) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 90342 + ... + 90450.

Almost surely, 2^9853164 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 9853164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465760).

9853164 is an abundant number, since it is smaller than the sum of its proper divisors (17078356).

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

9853164 is a wasteful number, since it uses less digits than its factorization.

9853164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 9853164 is about 3138.9749919361. The cubic root of 9853164 is about 214.3837699807.

The spelling of 9853164 in words is "nine million, eight hundred fifty-three thousand, one hundred sixty-four".