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293413 is a prime number
BaseRepresentation
bin1000111101000100101
3112220111011
41013220211
533342123
610142221
72331301
oct1075045
9486434
10293413
1119049a
12121971
13a3723
1478d01
155be0d
hex47a25

293413 has 2 divisors, whose sum is σ = 293414. Its totient is φ = 293412.

The previous prime is 293399. The next prime is 293431. The reversal of 293413 is 314392.

Together with next prime (293431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 289444 + 3969 = 538^2 + 63^2 .

It is a cyclic number.

It is not a de Polignac number, because 293413 - 213 = 285221 is a prime.

293413 is a lucky number.

It is equal to p25492 and since 293413 and 25492 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 (293453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 146706 + 146707.

It is an arithmetic number, because the mean of its divisors is an integer number (146707).

2293413 is an apocalyptic number.

It is an amenable number.

293413 is a deficient number, since it is larger than the sum of its proper divisors (1).

293413 is an equidigital number, since it uses as much as digits as its factorization.

293413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 22.

The square root of 293413 is about 541.6761024819. The cubic root of 293413 is about 66.4497141846.

The spelling of 293413 in words is "two hundred ninety-three thousand, four hundred thirteen".