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414413 is a prime number
BaseRepresentation
bin1100101001011001101
3210001110122
41211023031
5101230123
612514325
73344126
oct1451315
9701418
10414413
1126339a
1217b9a5
1311681c
14ab04d
1582bc8
hex652cd

414413 has 2 divisors, whose sum is σ = 414414. Its totient is φ = 414412.

The previous prime is 414397. The next prime is 414431. The reversal of 414413 is 314414.

Together with next prime (414431) 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., 252004 + 162409 = 502^2 + 403^2 .

It is a cyclic number.

It is not a de Polignac number, because 414413 - 24 = 414397 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 414391 and 414400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207206 + 207207.

It is an arithmetic number, because the mean of its divisors is an integer number (207207).

2414413 is an apocalyptic number.

It is an amenable number.

414413 is a deficient number, since it is larger than the sum of its proper divisors (1).

414413 is an equidigital number, since it uses as much as digits as its factorization.

414413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 192, while the sum is 17.

The square root of 414413 is about 643.7491747568. The cubic root of 414413 is about 74.5551743586. Note that the first 3 decimals are identical.

Adding to 414413 its reverse (314414), we get a palindrome (728827).

Subtracting from 414413 its reverse (314414), we obtain a palindrome (99999).

The spelling of 414413 in words is "four hundred fourteen thousand, four hundred thirteen".