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38003897 is a prime number
BaseRepresentation
bin1001000011111…
…0010010111001
32122111210112202
42100332102321
534212111042
63434315545
7641012351
oct220762271
978453482
1038003897
111a4a7988
1210888bb5
137b48119
145093b61
15350a632
hex243e4b9

38003897 has 2 divisors, whose sum is σ = 38003898. Its totient is φ = 38003896.

The previous prime is 38003887. The next prime is 38003899. The reversal of 38003897 is 79830083.

38003897 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37589161 + 414736 = 6131^2 + 644^2 .

It is a cyclic number.

It is not a de Polignac number, because 38003897 - 24 = 38003881 is a prime.

Together with 38003899, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38003897.

It is not a weakly prime, because it can be changed into another prime (38003899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19001948 + 19001949.

It is an arithmetic number, because the mean of its divisors is an integer number (19001949).

Almost surely, 238003897 is an apocalyptic number.

It is an amenable number.

38003897 is a deficient number, since it is larger than the sum of its proper divisors (1).

38003897 is an equidigital number, since it uses as much as digits as its factorization.

38003897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 38003897 is about 6164.7300833045. The cubic root of 38003897 is about 336.2090329346.

The spelling of 38003897 in words is "thirty-eight million, three thousand, eight hundred ninety-seven".