972543 has 16 divisors (see below), whose sum is σ = 1524096. Its totient is φ = 543840.

The previous prime is 972533. The next prime is 972557. The reversal of 972543 is 345279.

It is not a de Polignac number, because 972543 - 2⁹ = 972031 is a prime.

972543 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 972543.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972543.

It is not an unprimeable number, because it can be changed into a prime (972533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705 + ... + 1562.

It is an arithmetic number, because the mean of its divisors is an integer number (95256).

2⁹⁷²⁵⁴³ is an apocalyptic number.

972543 is a deficient number, since it is larger than the sum of its proper divisors (551553).

972543 is a wasteful number, since it uses less digits than its factorization.

972543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294.

The product of its digits is 7560, while the sum is 30.

The square root of 972543 is about 986.1759477903. The cubic root of 972543 is about 99.0762599846.

Subtracting from 972543 its reverse (345279), we obtain a square (627264 = 792²).

The spelling of 972543 in words is "nine hundred seventy-two thousand, five hundred forty-three".