972954234 has 256 divisors, whose sum is σ = 2836684800. Its totient is φ = 240565248.

The previous prime is 972954233. The next prime is 972954271. The reversal of 972954234 is 432459279.

972954234 is a `hidden beast` number, since 9 + 72 + 9 + 542 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 972954234.

It is not an unprimeable number, because it can be changed into a prime (972954233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4286029 + ... + 4286255.

It is an arithmetic number, because the mean of its divisors is an integer number (11080800).

Almost surely, 2^972954234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972954234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418342400).

972954234 is an abundant number, since it is smaller than the sum of its proper divisors (1863730566).

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

972954234 is a wasteful number, since it uses less digits than its factorization.

972954234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 972954234 is about 31192.2143170375. The cubic root of 972954234 is about 990.9022261843.

The spelling of 972954234 in words is "nine hundred seventy-two million, nine hundred fifty-four thousand, two hundred thirty-four".