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258623 is a prime number
BaseRepresentation
bin111111001000111111
3111010202122
4333020333
531233443
65313155
72125001
oct771077
9433678
10258623
11167342
121057bb
1390941
146a371
1551968
hex3f23f

258623 has 2 divisors, whose sum is σ = 258624. Its totient is φ = 258622.

The previous prime is 258617. The next prime is 258631. The reversal of 258623 is 326852.

258623 is nontrivially palindromic in base 4.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 258623 - 24 = 258607 is a prime.

It is a super-2 number, since 2×2586232 = 133771712258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 258592 and 258601.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258623.

It is not a weakly prime, because it can be changed into another prime (258613) 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, 129311 + 129312.

It is an arithmetic number, because the mean of its divisors is an integer number (129312).

2258623 is an apocalyptic number.

258623 is a deficient number, since it is larger than the sum of its proper divisors (1).

258623 is an equidigital number, since it uses as much as digits as its factorization.

258623 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 26.

The square root of 258623 is about 508.5498992233. The cubic root of 258623 is about 63.7121677363.

The spelling of 258623 in words is "two hundred fifty-eight thousand, six hundred twenty-three".