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973506881 is a prime number
BaseRepresentation
bin111010000001101…
…000100101000001
32111211211021101102
4322001220211001
53443204210011
6240333344145
733060446324
oct7201504501
92454737342
10973506881
1145a579146
12232038055
131268c2499
14934127bb
155a6eb73b
hex3a068941

973506881 has 2 divisors, whose sum is σ = 973506882. Its totient is φ = 973506880.

The previous prime is 973506827. The next prime is 973506907. The reversal of 973506881 is 188605379.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 834054400 + 139452481 = 28880^2 + 11809^2 .

It is an emirp because it is prime and its reverse (188605379) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 973506881 - 222 = 969312577 is a prime.

It is a super-2 number, since 2×9735068812 = 1895431294708696322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (973526881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486753440 + 486753441.

It is an arithmetic number, because the mean of its divisors is an integer number (486753441).

Almost surely, 2973506881 is an apocalyptic number.

It is an amenable number.

973506881 is a deficient number, since it is larger than the sum of its proper divisors (1).

973506881 is an equidigital number, since it uses as much as digits as its factorization.

973506881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 973506881 is about 31201.0717924882. The cubic root of 973506881 is about 991.0898045485.

The spelling of 973506881 in words is "nine hundred seventy-three million, five hundred six thousand, eight hundred eighty-one".