972363042 has 288 divisors, whose sum is σ = 2832141312. Its totient is φ = 244290816.

The previous prime is 972363031. The next prime is 972363043. The reversal of 972363042 is 240363279.

It is a happy number.

972363042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 972362988 and 972363006.

It is not an unprimeable number, because it can be changed into a prime (972363043) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22613073 + ... + 22613115.

It is an arithmetic number, because the mean of its divisors is an integer number (9833824).

Almost surely, 2^972363042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972363042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416070656).

972363042 is an abundant number, since it is smaller than the sum of its proper divisors (1859778270).

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

972363042 is a wasteful number, since it uses less digits than its factorization.

972363042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 972363042 is about 31182.7362814747. The cubic root of 972363042 is about 990.7014863001.

The spelling of 972363042 in words is "nine hundred seventy-two million, three hundred sixty-three thousand, forty-two".