1973632 has 32 divisors (see below), whose sum is σ = 4167720. Its totient is φ = 927744.

The previous prime is 1973627. The next prime is 1973633. The reversal of 1973632 is 2363791.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1973594 and 1973603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1973633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1723 + ... + 2629.

2^1973632 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 1973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083860).

1973632 is an abundant number, since it is smaller than the sum of its proper divisors (2194088).

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

1973632 is an equidigital number, since it uses as much as digits as its factorization.

1973632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 926 counting only the distinct ones).

The product of its digits is 6804, while the sum is 31.

The square root of 1973632 is about 1404.8601353871. The cubic root of 1973632 is about 125.4359604072.

The spelling of 1973632 in words is "one million, nine hundred seventy-three thousand, six hundred thirty-two".