972005329 has 3 divisors (see below), whose sum is σ = 972036507. Its totient is φ = 971974152.

The previous prime is 972005317. The next prime is 972005339. The reversal of 972005329 is 923500279.

The square root of 972005329 is 31177.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 745563025 + 226442304 = 27305^2 + 15048^2 .

It is not a de Polignac number, because 972005329 - 2⁷ = 972005201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972005339) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15589 + ... + 46765.

It is an arithmetic number, because the mean of its divisors is an integer number (324012169).

Almost surely, 2^972005329 is an apocalyptic number.

972005329 is the 31177-th square number.

972005329 is the 15589-th centered octagonal number.

It is an amenable number.

972005329 is a deficient number, since it is larger than the sum of its proper divisors (31178).

972005329 is an frugal number, since it uses more digits than its factorization.

972005329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62354 (or 31177 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The cubic root of 972005329 is about 990.5799849501.

The spelling of 972005329 in words is "nine hundred seventy-two million, five thousand, three hundred twenty-nine".