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2121337 is a prime number
BaseRepresentation
bin1000000101111001111001
310222202221001
420011321321
51020340322
6113245001
724013441
oct10057171
93882831
102121337
111219879
12863761
1359373a
143d3121
152bd827
hex205e79

2121337 has 2 divisors, whose sum is σ = 2121338. Its totient is φ = 2121336.

The previous prime is 2121323. The next prime is 2121341. The reversal of 2121337 is 7331212.

2121337 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., 2005056 + 116281 = 1416^2 + 341^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2121337 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060668 + 1060669.

It is an arithmetic number, because the mean of its divisors is an integer number (1060669).

22121337 is an apocalyptic number.

It is an amenable number.

2121337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121337 is an equidigital number, since it uses as much as digits as its factorization.

2121337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 19.

The square root of 2121337 is about 1456.4810331755. The cubic root of 2121337 is about 128.4901656390.

Adding to 2121337 its reverse (7331212), we get a palindrome (9452549).

The spelling of 2121337 in words is "two million, one hundred twenty-one thousand, three hundred thirty-seven".