8749 has 4 divisors (see below), whose sum is σ = 9436. Its totient is φ = 8064.

The previous prime is 8747. The next prime is 8753. The reversal of 8749 is 9478.

8749 = T₃₀ + T₃₁ + ... + T₄₂.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2025 + 6724 = 45^2 + 82^2 .

It is a cyclic number.

It is not a de Polignac number, because 8749 - 2¹ = 8747 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a plaindrome in base 5 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8741) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 324 + ... + 349.

It is an arithmetic number, because the mean of its divisors is an integer number (2359).

2⁸⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

8749 is a deficient number, since it is larger than the sum of its proper divisors (687).

8749 is a wasteful number, since it uses less digits than its factorization.

8749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686.

The product of its digits is 2016, while the sum is 28.

The square root of 8749 is about 93.5360892918. The cubic root of 8749 is about 20.6056414624.

Subtracting 8749 from its reverse (9478), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 87 and 49, that added together give a triangular number (136 = T₁₆).

The spelling of 8749 in words is "eight thousand, seven hundred forty-nine".