972129258 has 48 divisors (see below), whose sum is σ = 2246554440. Its totient is φ = 302742528.

The previous prime is 972129203. The next prime is 972129307. The reversal of 972129258 is 852921279.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 941691969 + 30437289 = 30687^2 + 5517^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30328 + ... + 53516.

Almost surely, 2^972129258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972129258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123277220).

972129258 is an abundant number, since it is smaller than the sum of its proper divisors (1274425182).

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

972129258 is a wasteful number, since it uses less digits than its factorization.

972129258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23351 (or 23348 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 972129258 is about 31178.9874434690. The cubic root of 972129258 is about 990.6220822399.

The spelling of 972129258 in words is "nine hundred seventy-two million, one hundred twenty-nine thousand, two hundred fifty-eight".