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257869 is a prime number
BaseRepresentation
bin111110111101001101
3111002201201
4332331031
531222434
65305501
72122543
oct767515
9432651
10257869
11166817
12105291
13904b1
1469d93
1551614
hex3ef4d

257869 has 2 divisors, whose sum is σ = 257870. Its totient is φ = 257868.

The previous prime is 257867. The next prime is 257879. The reversal of 257869 is 968752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189225 + 68644 = 435^2 + 262^2 .

It is a cyclic number.

It is not a de Polignac number, because 257869 - 21 = 257867 is a prime.

It is a super-2 number, since 2×2578692 = 132992842322, which contains 22 as substring.

Together with 257867, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257861) 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, 128934 + 128935.

It is an arithmetic number, because the mean of its divisors is an integer number (128935).

2257869 is an apocalyptic number.

It is an amenable number.

257869 is a deficient number, since it is larger than the sum of its proper divisors (1).

257869 is an equidigital number, since it uses as much as digits as its factorization.

257869 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 37.

The square root of 257869 is about 507.8080345958. The cubic root of 257869 is about 63.6501911201.

The spelling of 257869 in words is "two hundred fifty-seven thousand, eight hundred sixty-nine".