337 has 2 divisors, whose sum is σ = 338. Its totient is φ = 336.

The previous prime is 331. The next prime is 347. The reversal of 337 is 733.

Subtracting from 337 its sum of digits (13), we obtain a square (324 = 18^{2}).

Adding to 337 its product of digits (63), we get a square (400 = 20^{2}).

It can be divided in two parts, 33 and 7, that multiplied together give a triangular number (231 = T_{21}).

337 is nontrivially palindromic in base 9, base 14 and base 16.

It is the 8-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256 + 81 = 16^2 + 9^2 .

337 is a truncatable prime.

It is an emirp because it is prime and its reverse (733) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-337 is a prime.

It is a super-2 number, since 2×337^{2} = 227138, which contains 22 as substring.

It is a Chen prime.

337 is an undulating number in base 9, base 14 and base 16.

It is a plaindrome in base 10, base 13 and base 15.

It is a nialpdrome in base 7 and base 8.

It is a panconsummate number.

It is not a weakly prime, because it can be changed into another prime (331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 168 + 169.

It is an arithmetic number, because the mean of its divisors is an integer number (169).

It is an amenable number.

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

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

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

The product of its digits is 63, while the sum is 13.

The square root of 337 is about 18.3575597507. The cubic root of 337 is about 6.9589433372.

The spelling of 337 in words is "three hundred thirty-seven", and thus it is an aban number and an oban number.

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