1972542 has 64 divisors (see below), whose sum is σ = 4919040. Its totient is φ = 522720.

The previous prime is 1972541. The next prime is 1972567. The reversal of 1972542 is 2452791.

Its product of digits (5040) is a multiple of the sum of its prime divisors (48).

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 31 ways as a sum of consecutive naturals, for example, 103809 + ... + 103827.

It is an arithmetic number, because the mean of its divisors is an integer number (76860).

2^1972542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459520).

1972542 is an abundant number, since it is smaller than the sum of its proper divisors (2946498).

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

1972542 is a wasteful number, since it uses less digits than its factorization.

1972542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 48 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 1972542 is about 1404.4721428352. The cubic root of 1972542 is about 125.4128641774.

Subtracting 1972542 from its reverse (2452791), we obtain a square (480249 = 693²).

The spelling of 1972542 in words is "one million, nine hundred seventy-two thousand, five hundred forty-two".