972040542 has 64 divisors (see below), whose sum is σ = 2229030144. Its totient is φ = 279901440.

The previous prime is 972040529. The next prime is 972040547. The reversal of 972040542 is 245040279.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972040547) 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, 100378 + ... + 109634.

It is an arithmetic number, because the mean of its divisors is an integer number (34828596).

Almost surely, 2^972040542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972040542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114515072).

972040542 is an abundant number, since it is smaller than the sum of its proper divisors (1256989602).

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

972040542 is a wasteful number, since it uses less digits than its factorization.

972040542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9353.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 972040542 is about 31177.5647220882. The cubic root of 972040542 is about 990.5919467747.

The spelling of 972040542 in words is "nine hundred seventy-two million, forty thousand, five hundred forty-two".