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21337037 is a prime number
BaseRepresentation
bin101000101100…
…1001111001101
31111011000220122
41101121033031
520430241122
62041154325
7346235051
oct121311715
944130818
1021337037
1111053917
12718b9a5
134560b87
142b95c61
151d17142
hex14593cd

21337037 has 2 divisors, whose sum is σ = 21337038. Its totient is φ = 21337036.

The previous prime is 21337003. The next prime is 21337061. The reversal of 21337037 is 73073312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21215236 + 121801 = 4606^2 + 349^2 .

It is a cyclic number.

It is not a de Polignac number, because 21337037 - 216 = 21271501 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 21336997 and 21337015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21337087) 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, 10668518 + 10668519.

It is an arithmetic number, because the mean of its divisors is an integer number (10668519).

Almost surely, 221337037 is an apocalyptic number.

It is an amenable number.

21337037 is a deficient number, since it is larger than the sum of its proper divisors (1).

21337037 is an equidigital number, since it uses as much as digits as its factorization.

21337037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 26.

The square root of 21337037 is about 4619.2030697946. The cubic root of 21337037 is about 277.3605586805.

The spelling of 21337037 in words is "twenty-one million, three hundred thirty-seven thousand, thirty-seven".