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2105837 is a prime number
BaseRepresentation
bin1000000010000111101101
310221222122222
420002013231
51014341322
6113045125
723620316
oct10020755
93858588
102105837
111209168
128567a5
13589676
143cb60d
152b8e42
hex2021ed

2105837 has 2 divisors, whose sum is σ = 2105838. Its totient is φ = 2105836.

The previous prime is 2105833. The next prime is 2105843. The reversal of 2105837 is 7385012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2033476 + 72361 = 1426^2 + 269^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105837 - 22 = 2105833 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2105833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1052918 + 1052919.

It is an arithmetic number, because the mean of its divisors is an integer number (1052919).

22105837 is an apocalyptic number.

It is an amenable number.

2105837 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105837 is an equidigital number, since it uses as much as digits as its factorization.

2105837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 2105837 is about 1451.1502334355. The cubic root of 2105837 is about 128.1764534171.

The spelling of 2105837 in words is "two million, one hundred five thousand, eight hundred thirty-seven".