337993 has 4 divisors (see below), whose sum is σ = 348928. Its totient is φ = 327060.

The previous prime is 337973. The next prime is 337999. The reversal of 337993 is 399733.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 399733 = 61 ⋅6553.

It is a cyclic number.

It is not a de Polignac number, because 337993 - 2¹³ = 329801 is a prime.

It is a super-2 number, since 2×337993² = 228478536098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (337999) 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 in 3 ways as a sum of consecutive naturals, for example, 5421 + ... + 5482.

It is an arithmetic number, because the mean of its divisors is an integer number (87232).

2³³⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

337993 is a deficient number, since it is larger than the sum of its proper divisors (10935).

337993 is a wasteful number, since it uses less digits than its factorization.

337993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10934.

The product of its digits is 15309, while the sum is 34.

The square root of 337993 is about 581.3716539358. The cubic root of 337993 is about 69.6577168004.

The spelling of 337993 in words is "three hundred thirty-seven thousand, nine hundred ninety-three".