337873 has 2 divisors, whose sum is σ = 337874. Its totient is φ = 337872.

The previous prime is 337871. The next prime is 337891. The reversal of 337873 is 378733.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 321489 + 16384 = 567^2 + 128^2 .

It is an emirp because it is prime and its reverse (378733) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 337873 - 2¹ = 337871 is a prime.

It is a super-2 number, since 2×337873² = 228316328258, which contains 22 as substring.

Together with 337871, it forms a pair of twin primes.

337873 is a lucky number.

It is a nialpdrome in base 13.

It is not a weakly prime, because it can be changed into another prime (337871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 168936 + 168937.

It is an arithmetic number, because the mean of its divisors is an integer number (168937).

2³³⁷⁸⁷³ is an apocalyptic number.

It is an amenable number.

337873 is a deficient number, since it is larger than the sum of its proper divisors (1).

337873 is an equidigital number, since it uses as much as digits as its factorization.

337873 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10584, while the sum is 31.

The square root of 337873 is about 581.2684405677. The cubic root of 337873 is about 69.6494721371.

The spelling of 337873 in words is "three hundred thirty-seven thousand, eight hundred seventy-three".