1997632 has 70 divisors (see below), whose sum is σ = 4980178. Its totient is φ = 790272.

The previous prime is 1997617. The next prime is 1997647. The reversal of 1997632 is 2367991.

It is an interprime number because it is at equal distance from previous prime (1997617) and next prime (1997647).

It can be written as a sum of positive squares in only one way, i.e., 1382976 + 614656 = 1176^2 + 784^2 .

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 1997591 and 1997600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153658 + ... + 153670.

2^1997632 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 1997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490089).

1997632 is an abundant number, since it is smaller than the sum of its proper divisors (2982546).

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

1997632 is an frugal number, since it uses more digits than its factorization.

1997632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 22 counting only the distinct ones).

The product of its digits is 20412, while the sum is 37.

The square root of 1997632 is about 1413.3760999819. The cubic root of 1997632 is about 125.9423604677.

The spelling of 1997632 in words is "one million, nine hundred ninety-seven thousand, six hundred thirty-two".