9682164 has 36 divisors (see below), whose sum is σ = 24881220. Its totient is φ = 3173760.

The previous prime is 9682151. The next prime is 9682171. The reversal of 9682164 is 4612869.

It can be written as a sum of positive squares in 2 ways, for example, as 501264 + 9180900 = 708^2 + 3030^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9 + ... + 4400.

It is an arithmetic number, because the mean of its divisors is an integer number (691145).

Almost surely, 2^9682164 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 9682164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12440610).

9682164 is an abundant number, since it is smaller than the sum of its proper divisors (15199056).

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

9682164 is a wasteful number, since it uses less digits than its factorization.

9682164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480 (or 4475 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 9682164 is about 3111.6175857582. The cubic root of 9682164 is about 213.1363274596.

Adding to 9682164 its sum of digits (36), we get a triangular number (9682200 = T₄₄₀₀).

The spelling of 9682164 in words is "nine million, six hundred eighty-two thousand, one hundred sixty-four".