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2122837 is a prime number
BaseRepresentation
bin1000000110010001010101
310222211222121
420012101111
51020412322
6113255541
724021013
oct10062125
93884877
102122837
11121aa12
128645b1
13594322
143d38b3
152bdec7
hex206455

2122837 has 2 divisors, whose sum is σ = 2122838. Its totient is φ = 2122836.

The previous prime is 2122823. The next prime is 2122843. The reversal of 2122837 is 7382212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2047761 + 75076 = 1431^2 + 274^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122837 - 27 = 2122709 is a prime.

It is a d-powerful number, because it can be written as 24 + 1 + 212 + 219 + 82 + 313 + 72 .

2122837 is a lucky number.

It is equal to p157381 and since 2122837 and 157381 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061418 + 1061419.

It is an arithmetic number, because the mean of its divisors is an integer number (1061419).

22122837 is an apocalyptic number.

It is an amenable number.

2122837 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122837 is an equidigital number, since it uses as much as digits as its factorization.

2122837 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1344, while the sum is 25.

The square root of 2122837 is about 1456.9958819434. The cubic root of 2122837 is about 128.5204436882.

The spelling of 2122837 in words is "two million, one hundred twenty-two thousand, eight hundred thirty-seven".