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972317167 is a prime number
BaseRepresentation
bin111001111101000…
…110000111101111
32111202120211101221
4321331012013233
53442403122132
6240252044211
733044362633
oct7175060757
92452524357
10972317167
11459936308
12231763667
13126596b03
14931c2dc3
155a563e97
hex39f461ef

972317167 has 2 divisors, whose sum is σ = 972317168. Its totient is φ = 972317166.

The previous prime is 972317113. The next prime is 972317189. The reversal of 972317167 is 761713279.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-972317167 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972317767) 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 as a sum of consecutive naturals, namely, 486158583 + 486158584.

It is an arithmetic number, because the mean of its divisors is an integer number (486158584).

Almost surely, 2972317167 is an apocalyptic number.

972317167 is a deficient number, since it is larger than the sum of its proper divisors (1).

972317167 is an equidigital number, since it uses as much as digits as its factorization.

972317167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 111132, while the sum is 43.

The square root of 972317167 is about 31182.0006895003. Note that the first 3 decimals coincide. The cubic root of 972317167 is about 990.6859059927.

Subtracting from 972317167 its sum of digits (43), we obtain a square (972317124 = 311822).

The spelling of 972317167 in words is "nine hundred seventy-two million, three hundred seventeen thousand, one hundred sixty-seven".