3467 has 2 divisors, whose sum is σ = 3468. Its totient is φ = 3466.

The previous prime is 3463. The next prime is 3469. The reversal of 3467 is 7643.

It is a strong prime.

3467 is a truncatable prime.

It is an emirp because it is prime and its reverse (7643) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3467 - 2^{2} = 3463 is a prime.

Together with 3469, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 10 and base 14.

It is not a weakly prime, because it can be changed into another prime (3461) by changing a digit.

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

It is an upside-down number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1733 + 1734.

It is an arithmetic number, because the mean of its divisors is an integer number (1734).

2^{3467} is an apocalyptic number.

3467 is a deficient number, since it is larger than the sum of its proper divisors (1).

3467 is an equidigital number, since it uses as much as digits as its factorization.

3467 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 20.

The square root of 3467 is about 58.8812364001. The cubic root of 3467 is about 15.1350762718.

It can be divided in two parts, 346 and 7, that added together give a palindrome (353).

The spelling of 3467 in words is "three thousand, four hundred sixty-seven".

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