968338 has 24 divisors (see below), whose sum is σ = 1738044. Its totient is φ = 403200.

The previous prime is 968333. The next prime is 968353. The reversal of 968338 is 833869.

It is a happy number.

968338 is digitally balanced in base 2, 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 946729 + 21609 = 973^2 + 147^2 .

It is a junction number, because it is equal to n+sod(n) for n = 968297 and 968306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968333) by changing a digit.

968338 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3898 + ... + 4138.

2⁹⁶⁸³³⁸ is an apocalyptic number.

968338 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

968338 is a deficient number, since it is larger than the sum of its proper divisors (769706).

968338 is a wasteful number, since it uses less digits than its factorization.

968338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 968338 is about 984.0416657845. The cubic root of 968338 is about 98.9332611447.

It can be divided in two parts, 968 and 338, that multiplied together give a square (327184 = 572²).

The spelling of 968338 in words is "nine hundred sixty-eight thousand, three hundred thirty-eight".