972828282731 has 16 divisors (see below), whose sum is σ = 1000447021056. Its totient is φ = 945396360000.

The previous prime is 972828282709. The next prime is 972828282739. The reversal of 972828282731 is 137282828279.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 972828282731 - 2¹⁰ = 972828281707 is a prime.

It is a super-2 number, since 2×972828282731² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972828282739) 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, 101005286 + ... + 101014916.

It is an arithmetic number, because the mean of its divisors is an integer number (62527938816).

Almost surely, 2^972828282731 is an apocalyptic number.

972828282731 is a deficient number, since it is larger than the sum of its proper divisors (27618738325).

972828282731 is a wasteful number, since it uses less digits than its factorization.

972828282731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19034.

The product of its digits is 10838016, while the sum is 59.

The spelling of 972828282731 in words is "nine hundred seventy-two billion, eight hundred twenty-eight million, two hundred eighty-two thousand, seven hundred thirty-one".