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997302413 is a prime number
BaseRepresentation
bin111011011100011…
…010000010001101
32120111121012201102
4323130122002031
54020302134123
6242543352445
733466634132
oct7334320215
92514535642
10997302413
11471a51078
12239bb2725
1312b804393
1496648589
155c84c028
hex3b71a08d

997302413 has 2 divisors, whose sum is σ = 997302414. Its totient is φ = 997302412.

The previous prime is 997302407. The next prime is 997302461. The reversal of 997302413 is 314203799.

997302413 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., 519748804 + 477553609 = 22798^2 + 21853^2 .

It is a cyclic number.

It is not a de Polignac number, because 997302413 - 26 = 997302349 is a prime.

It is a super-2 number, since 2×9973024132 = 1989224205951245138, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (997302473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 498651206 + 498651207.

It is an arithmetic number, because the mean of its divisors is an integer number (498651207).

Almost surely, 2997302413 is an apocalyptic number.

It is an amenable number.

997302413 is a deficient number, since it is larger than the sum of its proper divisors (1).

997302413 is an equidigital number, since it uses as much as digits as its factorization.

997302413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 997302413 is about 31580.0952025164. The cubic root of 997302413 is about 999.0999945666.

The spelling of 997302413 in words is "nine hundred ninety-seven million, three hundred two thousand, four hundred thirteen".