972828117 has 32 divisors (see below), whose sum is σ = 1462032000. Its totient is φ = 639239040.

The previous prime is 972828107. The next prime is 972828119. The reversal of 972828117 is 711828279.

It is not a de Polignac number, because 972828117 - 2⁶ = 972828053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972828119) 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 31 ways as a sum of consecutive naturals, for example, 1371759 + ... + 1372467.

It is an arithmetic number, because the mean of its divisors is an integer number (45688500).

Almost surely, 2^972828117 is an apocalyptic number.

It is an amenable number.

972828117 is a deficient number, since it is larger than the sum of its proper divisors (489203883).

972828117 is a wasteful number, since it uses less digits than its factorization.

972828117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1372 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The square root of 972828117 is about 31190.1926412775. The cubic root of 972828117 is about 990.8594098449.

The spelling of 972828117 in words is "nine hundred seventy-two million, eight hundred twenty-eight thousand, one hundred seventeen".