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258353 is a prime number
BaseRepresentation
bin111111000100110001
3111010101122
4333010301
531231403
65312025
72124134
oct770461
9433348
10258353
11167117
12105615
1390794
146a21b
1551838
hex3f131

258353 has 2 divisors, whose sum is σ = 258354. Its totient is φ = 258352.

The previous prime is 258337. The next prime is 258373. The reversal of 258353 is 353852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 258064 + 289 = 508^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 258353 - 24 = 258337 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258353.

It is not a weakly prime, because it can be changed into another prime (258373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129176 + 129177.

It is an arithmetic number, because the mean of its divisors is an integer number (129177).

2258353 is an apocalyptic number.

It is an amenable number.

258353 is a deficient number, since it is larger than the sum of its proper divisors (1).

258353 is an equidigital number, since it uses as much as digits as its factorization.

258353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3600, while the sum is 26.

The square root of 258353 is about 508.2843692265. The cubic root of 258353 is about 63.6899883798.

The spelling of 258353 in words is "two hundred fifty-eight thousand, three hundred fifty-three".