3457 has 2 divisors, whose sum is σ = 3458. Its totient is φ = 3456.

The previous prime is 3449. The next prime is 3461. The reversal of 3457 is 7543.

It can be divided in two parts, 345 and 7, that multiplied together give a triangular number (2415 = T_{69}).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1936 + 1521 = 44^2 + 39^2 .

It is a cyclic number.

It is not a de Polignac number, because 3457 - 2^{3} = 3449 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as **3**^{3} + **5**^{5} + **4**^{4} + **7**^{2} .

It is a plaindrome in base 10 and base 14.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (3407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a Pierpont prime, being equal to 2^{7} ⋅ 3^{3} + 1.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1728 + 1729.

It is an arithmetic number, because the mean of its divisors is an integer number (1729).

It is a Proth number, since it is equal to 27 ⋅ 2^{7} + 1 and 27 < 2^{7}.

It is an amenable number.

3457 is a deficient number, since it is larger than the sum of its proper divisors (1).

3457 is an equidigital number, since it uses as much as digits as its factorization.

3457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 19.

The square root of 3457 is about 58.7962583844. The cubic root of 3457 is about 15.1205107001.

The spelling of 3457 in words is "three thousand, four hundred fifty-seven".

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