8949 has 8 divisors (see below), whose sum is σ = 12640. Its totient is φ = 5616.

The previous prime is 8941. The next prime is 8951. The reversal of 8949 is 9498.

8949 = 12² + 13² + ... + 30².

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

It is not a de Polignac number, because 8949 - 2³ = 8941 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (8941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 135.

It is an arithmetic number, because the mean of its divisors is an integer number (1580).

2⁸⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

8949 is a deficient number, since it is larger than the sum of its proper divisors (3691).

8949 is a wasteful number, since it uses less digits than its factorization.

8949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179.

The product of its digits is 2592, while the sum is 30.

The square root of 8949 is about 94.5991543303. The cubic root of 8949 is about 20.7614733084.

It can be divided in two parts, 894 and 9, that added together give a triangular number (903 = T₄₂).

The spelling of 8949 in words is "eight thousand, nine hundred forty-nine".