1972544 has 84 divisors (see below), whose sum is σ = 4951476. Its totient is φ = 774144.

The previous prime is 1972541. The next prime is 1972567. The reversal of 1972544 is 4452791.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1658944 + 313600 = 1288^2 + 560^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (10080) is a multiple of the sum of its prime divisors (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1972544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53294 + ... + 53330.

2^1972544 is an apocalyptic number.

1972544 is a gapful number since it is divisible by the number (14) 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 1972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475738).

1972544 is an abundant number, since it is smaller than the sum of its proper divisors (2978932).

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

1972544 is a wasteful number, since it uses less digits than its factorization.

1972544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 63 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 1972544 is about 1404.4728548463. The cubic root of 1972544 is about 125.4129065636.

The spelling of 1972544 in words is "one million, nine hundred seventy-two thousand, five hundred forty-four".