Search a number
-
+
75406321 is a prime number
BaseRepresentation
bin1000111111010…
…01101111110001
312020220001000201
410133221233301
5123301000241
611252115201
71603641334
oct437515761
9166801021
1075406321
1139623981
1221305b01
1312812533
14a02c61b
156947931
hex47e9bf1

75406321 has 2 divisors, whose sum is σ = 75406322. Its totient is φ = 75406320.

The previous prime is 75406319. The next prime is 75406337. The reversal of 75406321 is 12360457.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69472225 + 5934096 = 8335^2 + 2436^2 .

It is an emirp because it is prime and its reverse (12360457) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75406321 - 21 = 75406319 is a prime.

It is a super-2 number, since 2×754063212 = 11372226493510082, which contains 22 as substring.

Together with 75406319, 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 75406321.

It is not a weakly prime, because it can be changed into another prime (75406301) 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, 37703160 + 37703161.

It is an arithmetic number, because the mean of its divisors is an integer number (37703161).

Almost surely, 275406321 is an apocalyptic number.

It is an amenable number.

75406321 is a deficient number, since it is larger than the sum of its proper divisors (1).

75406321 is an equidigital number, since it uses as much as digits as its factorization.

75406321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 75406321 is about 8683.6813046081. The cubic root of 75406321 is about 422.4765268287.

Adding to 75406321 its reverse (12360457), we get a palindrome (87766778).

It can be divided in two parts, 7540 and 6321, that added together give a triangular number (13861 = T166).

The spelling of 75406321 in words is "seventy-five million, four hundred six thousand, three hundred twenty-one".