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2123257 is a prime number
BaseRepresentation
bin1000000110010111111001
310222212120011
420012113321
51020421012
6113301521
724022153
oct10062771
93885504
102123257
111220264
128648a1
13594586
143d3ad3
152be1a7
hex2065f9

2123257 has 2 divisors, whose sum is σ = 2123258. Its totient is φ = 2123256.

The previous prime is 2123243. The next prime is 2123263. The reversal of 2123257 is 7523212.

2123257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2027776 + 95481 = 1424^2 + 309^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123257 - 27 = 2123129 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2123237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061628 + 1061629.

It is an arithmetic number, because the mean of its divisors is an integer number (1061629).

22123257 is an apocalyptic number.

It is an amenable number.

2123257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123257 is an equidigital number, since it uses as much as digits as its factorization.

2123257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 840, while the sum is 22.

The square root of 2123257 is about 1457.1400070000. The cubic root of 2123257 is about 128.5289189860.

Adding to 2123257 its reverse (7523212), we get a palindrome (9646469).

The spelling of 2123257 in words is "two million, one hundred twenty-three thousand, two hundred fifty-seven".