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20827837 is a prime number
BaseRepresentation
bin100111101110…
…0111010111101
31110012011102101
41033130322331
520312442322
62022225101
7342014362
oct117347275
943164371
1020827837
1110836298
126b85191
134413184
142aa2469
151c66327
hex13dcebd

20827837 has 2 divisors, whose sum is σ = 20827838. Its totient is φ = 20827836.

The previous prime is 20827831. The next prime is 20827843. The reversal of 20827837 is 73872802.

It is a balanced prime because it is at equal distance from previous prime (20827831) and next prime (20827843).

It can be written as a sum of positive squares in only one way, i.e., 11519236 + 9308601 = 3394^2 + 3051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20827837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20827796 and 20827805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20827831) 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, 10413918 + 10413919.

It is an arithmetic number, because the mean of its divisors is an integer number (10413919).

Almost surely, 220827837 is an apocalyptic number.

It is an amenable number.

20827837 is a deficient number, since it is larger than the sum of its proper divisors (1).

20827837 is an equidigital number, since it uses as much as digits as its factorization.

20827837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 20827837 is about 4563.7525130094. The cubic root of 20827837 is about 275.1364039558.

The spelling of 20827837 in words is "twenty million, eight hundred twenty-seven thousand, eight hundred thirty-seven".