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997724813 is a prime number
BaseRepresentation
bin111011011110000…
…001001010001101
32120112101200010212
4323132001022031
54020404143223
6243000412205
733503343461
oct7336011215
92515350125
10997724813
1147220a468
1223a177065
1312b921717
14967184a1
155c8d2278
hex3b78128d

997724813 has 2 divisors, whose sum is σ = 997724814. Its totient is φ = 997724812.

The previous prime is 997724807. The next prime is 997724837. The reversal of 997724813 is 318427799.

997724813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 662908009 + 334816804 = 25747^2 + 18298^2 .

It is a cyclic number.

It is not a de Polignac number, because 997724813 - 220 = 996676237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (997724213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 498862406 + 498862407.

It is an arithmetic number, because the mean of its divisors is an integer number (498862407).

Almost surely, 2997724813 is an apocalyptic number.

It is an amenable number.

997724813 is a deficient number, since it is larger than the sum of its proper divisors (1).

997724813 is an equidigital number, since it uses as much as digits as its factorization.

997724813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 762048, while the sum is 50.

The square root of 997724813 is about 31586.7822514418. The cubic root of 997724813 is about 999.2410284412.

The spelling of 997724813 in words is "nine hundred ninety-seven million, seven hundred twenty-four thousand, eight hundred thirteen".