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2121829 is a prime number
BaseRepresentation
bin1000000110000001100101
310222210121021
420012001211
51020344304
6113251141
724015043
oct10060145
93883537
102121829
11121a186
12863ab1
13593a28
143d3393
152bda54
hex206065

2121829 has 2 divisors, whose sum is σ = 2121830. Its totient is φ = 2121828.

The previous prime is 2121809. The next prime is 2121841. The reversal of 2121829 is 9281212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2030625 + 91204 = 1425^2 + 302^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121829 - 25 = 2121797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060914 + 1060915.

It is an arithmetic number, because the mean of its divisors is an integer number (1060915).

22121829 is an apocalyptic number.

It is an amenable number.

2121829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121829 is an equidigital number, since it uses as much as digits as its factorization.

2121829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 25.

The square root of 2121829 is about 1456.6499236261. The cubic root of 2121829 is about 128.5000984117.

The spelling of 2121829 in words is "two million, one hundred twenty-one thousand, eight hundred twenty-nine".