997164 has 48 divisors (see below), whose sum is σ = 2956800. Its totient is φ = 284688.

The previous prime is 997163. The next prime is 997201. The reversal of 997164 is 461799.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 997164.

It is not an unprimeable number, because it can be changed into a prime (997163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97 + ... + 1415.

It is an arithmetic number, because the mean of its divisors is an integer number (61600).

2⁹⁹⁷¹⁶⁴ 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 997164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478400).

997164 is an abundant number, since it is smaller than the sum of its proper divisors (1959636).

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

997164 is a wasteful number, since it uses less digits than its factorization.

997164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1331 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 997164 is about 998.5809932099. The cubic root of 997164 is about 99.9053771601.

The spelling of 997164 in words is "nine hundred ninety-seven thousand, one hundred sixty-four".