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972086347 = 7144930493
BaseRepresentation
bin111001111100001…
…101110001001011
32111202011002210001
4321330031301023
53442323230342
6240243103431
733042411661
oct7174156113
92452132701
10972086347
11459798951
12231671b77
13126515a2b
1493162c31
155a51a8b7
hex39f0dc4b

972086347 has 8 divisors (see below), whose sum is σ = 988005600. Its totient is φ = 956229120.

The previous prime is 972086327. The next prime is 972086359. The reversal of 972086347 is 743680279.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 972086347 - 223 = 963697739 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 972086297 and 972086306.

It is not an unprimeable number, because it can be changed into a prime (972086327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16633 + ... + 47125.

It is an arithmetic number, because the mean of its divisors is an integer number (123500700).

Almost surely, 2972086347 is an apocalyptic number.

972086347 is a deficient number, since it is larger than the sum of its proper divisors (15919253).

972086347 is a wasteful number, since it uses less digits than its factorization.

972086347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31013.

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 972086347 is about 31178.2992961451. The cubic root of 972086347 is about 990.6075062600.

The spelling of 972086347 in words is "nine hundred seventy-two million, eighty-six thousand, three hundred forty-seven".

Divisors: 1 71 449 30493 31879 2165003 13691357 972086347