972756147 has 18 divisors (see below), whose sum is σ = 1426508524. Its totient is φ = 589189040.

The previous prime is 972756131. The next prime is 972756163. The reversal of 972756147 is 741657279.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (972756131) and next prime (972756163).

It is not a de Polignac number, because 972756147 - 2⁴ = 972756131 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 972756096 and 972756105.

It is not an unprimeable number, because it can be changed into a prime (972756107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 593413 + ... + 595049.

Almost surely, 2^972756147 is an apocalyptic number.

972756147 is a deficient number, since it is larger than the sum of its proper divisors (453752377).

972756147 is an equidigital number, since it uses as much as digits as its factorization.

972756147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 1651 counting only the distinct ones).

The product of its digits is 740880, while the sum is 48.

The square root of 972756147 is about 31189.0388918928. The cubic root of 972756147 is about 990.8349745895.

Multiplying 972756147 by its sum of digits (48), we get a square (46692295056 = 216084²).

The spelling of 972756147 in words is "nine hundred seventy-two million, seven hundred fifty-six thousand, one hundred forty-seven".