Search a number
-
+
997363813 is a prime number
BaseRepresentation
bin111011011100101…
…001000001100101
32120111201022221111
4323130221001211
54020311120223
6242544545021
733500311135
oct7334510145
92514638844
10997363813
11471a93216
1223a022171
1312b826304
1496662ac5
155c86030d
hex3b729065

997363813 has 2 divisors, whose sum is σ = 997363814. Its totient is φ = 997363812.

The previous prime is 997363793. The next prime is 997363831. The reversal of 997363813 is 318363799.

997363813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (997363831) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 740819524 + 256544289 = 27218^2 + 16017^2 .

It is a cyclic number.

It is not a de Polignac number, because 997363813 - 213 = 997355621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (997363883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 498681906 + 498681907.

It is an arithmetic number, because the mean of its divisors is an integer number (498681907).

Almost surely, 2997363813 is an apocalyptic number.

It is an amenable number.

997363813 is a deficient number, since it is larger than the sum of its proper divisors (1).

997363813 is an equidigital number, since it uses as much as digits as its factorization.

997363813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 734832, while the sum is 49.

The square root of 997363813 is about 31581.0673188859. The cubic root of 997363813 is about 999.1204977025.

The spelling of 997363813 in words is "nine hundred ninety-seven million, three hundred sixty-three thousand, eight hundred thirteen".