6982164 has 72 divisors (see below), whose sum is σ = 20442240. Its totient is φ = 1968192.

The previous prime is 6982163. The next prime is 6982181. The reversal of 6982164 is 4612896.

It is a super-2 number, since 2×6982164² = 97501228245792, which contains 22 as substring.

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

Its product of digits (20736) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6982163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25822 + ... + 26090.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 2^6982164 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 6982164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221120).

6982164 is an abundant number, since it is smaller than the sum of its proper divisors (13460076).

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

6982164 is a wasteful number, since it uses less digits than its factorization.

6982164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 384 counting only the distinct ones).

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

The square root of 6982164 is about 2642.3784740268. The cubic root of 6982164 is about 191.1305084672.

The spelling of 6982164 in words is "six million, nine hundred eighty-two thousand, one hundred sixty-four".