972127953 has 16 divisors (see below), whose sum is σ = 1460476800. Its totient is φ = 638956080.

The previous prime is 972127861. The next prime is 972127963. The reversal of 972127953 is 359721279.

It is not a de Polignac number, because 972127953 - 2⁸ = 972127697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 972127899 and 972127908.

It is not an unprimeable number, because it can be changed into a prime (972127963) 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 15 ways as a sum of consecutive naturals, for example, 251638 + ... + 255471.

It is an arithmetic number, because the mean of its divisors is an integer number (91279800).

Almost surely, 2^972127953 is an apocalyptic number.

It is an amenable number.

972127953 is a deficient number, since it is larger than the sum of its proper divisors (488348847).

972127953 is a wasteful number, since it uses less digits than its factorization.

972127953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507189 (or 507183 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 972127953 is about 31178.9665159062. The cubic root of 972127953 is about 990.6216389647.

The spelling of 972127953 in words is "nine hundred seventy-two million, one hundred twenty-seven thousand, nine hundred fifty-three".