338065893 has 60 divisors (see below), whose sum is σ = 588038220. Its totient is φ = 192741120.

The previous prime is 338065867. The next prime is 338065901. The reversal of 338065893 is 398560833.

It can be written as a sum of positive squares in 2 ways, for example, as 310534884 + 27531009 = 17622^2 + 5247^2 .

It is not a de Polignac number, because 338065893 - 2¹⁶ = 338000357 is a prime.

It is a super-2 number, since 2×338065893² = 228577096019774898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338065813) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 165603 + ... + 167631.

It is an arithmetic number, because the mean of its divisors is an integer number (9800637).

Almost surely, 2^338065893 is an apocalyptic number.

338065893 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

338065893 is a deficient number, since it is larger than the sum of its proper divisors (249972327).

338065893 is a wasteful number, since it uses less digits than its factorization.

338065893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 338065893 is about 18386.5682768699. The cubic root of 338065893 is about 696.6272399971.

The spelling of 338065893 in words is "three hundred thirty-eight million, sixty-five thousand, eight hundred ninety-three".