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993000917 is a prime number
BaseRepresentation
bin111011001011111…
…111110111010101
32120012111200011202
4323023333313111
54013202012132
6242311242245
733415240256
oct7313776725
92505450152
10993000917
1146a583317
12238679385
1312a95950c
1495c48b2d
155c29c762
hex3b2ffdd5

993000917 has 2 divisors, whose sum is σ = 993000918. Its totient is φ = 993000916.

The previous prime is 993000907. The next prime is 993000941. The reversal of 993000917 is 719000399.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 602898916 + 390102001 = 24554^2 + 19751^2 .

It is a cyclic number.

It is not a de Polignac number, because 993000917 - 24 = 993000901 is a prime.

It is equal to p50509658 and since 993000917 and 50509658 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (993000907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496500458 + 496500459.

It is an arithmetic number, because the mean of its divisors is an integer number (496500459).

Almost surely, 2993000917 is an apocalyptic number.

It is an amenable number.

993000917 is a deficient number, since it is larger than the sum of its proper divisors (1).

993000917 is an equidigital number, since it uses as much as digits as its factorization.

993000917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15309, while the sum is 38.

The square root of 993000917 is about 31511.9170632318. The cubic root of 993000917 is about 997.6615080515.

The spelling of 993000917 in words is "nine hundred ninety-three million, nine hundred seventeen", and thus it is an aban number.