972129257 has 8 divisors (see below), whose sum is σ = 1060912512. Its totient is φ = 883414000.

The previous prime is 972129203. The next prime is 972129307. The reversal of 972129257 is 752921279.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 972129257 - 2²² = 967934953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972120257) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15632 + ... + 46782.

It is an arithmetic number, because the mean of its divisors is an integer number (132614064).

Almost surely, 2^972129257 is an apocalyptic number.

It is an amenable number.

972129257 is a deficient number, since it is larger than the sum of its proper divisors (88783255).

972129257 is a wasteful number, since it uses less digits than its factorization.

972129257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33999.

The product of its digits is 158760, while the sum is 44.

The square root of 972129257 is about 31178.9874274326. The cubic root of 972129257 is about 990.6220819002.

The spelling of 972129257 in words is "nine hundred seventy-two million, one hundred twenty-nine thousand, two hundred fifty-seven".