1997964 has 72 divisors (see below), whose sum is σ = 5591040. Its totient is φ = 598752.

The previous prime is 1997939. The next prime is 1997969. The reversal of 1997964 is 4697991.

1997964 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1997969) 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, 15669 + ... + 15795.

2^1997964 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 1997964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795520).

1997964 is an abundant number, since it is smaller than the sum of its proper divisors (3593076).

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

1997964 is a wasteful number, since it uses less digits than its factorization.

1997964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 174 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 1997964 is about 1413.4935443786. The cubic root of 1997964 is about 125.9493371527.

The spelling of 1997964 in words is "one million, nine hundred ninety-seven thousand, nine hundred sixty-four".