Search a number
-
+
397882033 is a prime number
BaseRepresentation
bin10111101101110…
…011001010110001
31000201200111112121
4113231303022301
51303324211113
6103251554241
712600640633
oct2755631261
91021614477
10397882033
1119465972a
12b12bb981
136457c573
143abb2a53
1524de5e8d
hex17b732b1

397882033 has 2 divisors, whose sum is σ = 397882034. Its totient is φ = 397882032.

The previous prime is 397882031. The next prime is 397882039. The reversal of 397882033 is 330288793.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 365880384 + 32001649 = 19128^2 + 5657^2 .

It is a cyclic number.

It is not a de Polignac number, because 397882033 - 21 = 397882031 is a prime.

It is a super-2 number, since 2×3978820332 = 316620224368426178, which contains 22 as substring.

Together with 397882031, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (397882031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 198941016 + 198941017.

It is an arithmetic number, because the mean of its divisors is an integer number (198941017).

Almost surely, 2397882033 is an apocalyptic number.

It is an amenable number.

397882033 is a deficient number, since it is larger than the sum of its proper divisors (1).

397882033 is an equidigital number, since it uses as much as digits as its factorization.

397882033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 397882033 is about 19946.9805484439. The cubic root of 397882033 is about 735.5035548497.

The spelling of 397882033 in words is "three hundred ninety-seven million, eight hundred eighty-two thousand, thirty-three".