8738 has 8 divisors (see below), whose sum is σ = 13932. Its totient is φ = 4096.

The previous prime is 8737. The next prime is 8741. The reversal of 8738 is 8378.

8738 is nontrivially palindromic in base 4 and base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 6889 + 1849 = 83^2 + 43^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

8738 is an undulating number in base 4.

It is a Curzon number.

8738 is a nontrivial repdigit in base 16.

It is a plaindrome in base 16.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (8731) by changing a digit.

In principle, a polygon with 8738 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95 + ... + 162.

2^{8738} is an apocalyptic number.

8738 is a deficient number, since it is larger than the sum of its proper divisors (5194).

8738 is a wasteful number, since it uses less digits than its factorization.

8738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276.

The product of its digits is 1344, while the sum is 26.

The square root of 8738 is about 93.4772699644. The cubic root of 8738 is about 20.5970021088.

It can be divided in two parts, 87 and 38, that added together give a cube (125 = 5^{3}).

The spelling of 8738 in words is "eight thousand, seven hundred thirty-eight".

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