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67409 is a prime number
BaseRepresentation
bin10000011101010001
310102110122
4100131101
54124114
61240025
7400346
oct203521
9112418
1067409
1146711
1233015
13248b4
141a7cd
1514e8e
hex10751

67409 has 2 divisors, whose sum is σ = 67410. Its totient is φ = 67408.

The previous prime is 67399. The next prime is 67411. The reversal of 67409 is 90476.

Adding to 67409 its product of nonzero digits (1512), we get a cube (68921 = 413).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61009 + 6400 = 247^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 67409 - 28 = 67153 is a prime.

Together with 67411, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (67429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33704 + 33705.

It is an arithmetic number, because the mean of its divisors is an integer number (33705).

267409 is an apocalyptic number.

It is an amenable number.

67409 is a deficient number, since it is larger than the sum of its proper divisors (1).

67409 is an equidigital number, since it uses as much as digits as its factorization.

67409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 67409 is about 259.6324324887. The cubic root of 67409 is about 40.6979588349.

The spelling of 67409 in words is "sixty-seven thousand, four hundred nine".