1997120 has 42 divisors (see below), whose sum is σ = 4816602. Its totient is φ = 788736.

The previous prime is 1997119. The next prime is 1997129. The reversal of 1997120 is 217991.

It can be written as a sum of positive squares in only one way, i.e., 1597696 + 399424 = 1264^2 + 632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25241 + ... + 25319.

It is an arithmetic number, because the mean of its divisors is an integer number (114681).

2^1997120 is an apocalyptic number.

1997120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408301).

1997120 is an abundant number, since it is smaller than the sum of its proper divisors (2819482).

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

1997120 is an frugal number, since it uses more digits than its factorization.

1997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 1997120 is about 1413.1949617799. The cubic root of 1997120 is about 125.9315997273.

It can be divided in two parts, 19971 and 20, that added together give a palindrome (19991).

The spelling of 1997120 in words is "one million, nine hundred ninety-seven thousand, one hundred twenty".