337696 has 24 divisors (see below), whose sum is σ = 679644. Its totient is φ = 165120.

The previous prime is 337691. The next prime is 337697. The reversal of 337696 is 696733.

337696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 336400 + 1296 = 580^2 + 36^2 .

It is a super-2 number, since 2×337696² = 228077176832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (337691) 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, 1866 + ... + 2038.

2³³⁷⁶⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 337696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339822).

337696 is an abundant number, since it is smaller than the sum of its proper divisors (341948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

337696 is a wasteful number, since it uses less digits than its factorization.

337696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its digits is 20412, while the sum is 34.

The square root of 337696 is about 581.1161673882. The cubic root of 337696 is about 69.6373076947.

The spelling of 337696 in words is "three hundred thirty-seven thousand, six hundred ninety-six".