17949 has 8 divisors (see below), whose sum is σ = 24832. Its totient is φ = 11520.

The previous prime is 17939. The next prime is 17957. The reversal of 17949 is 94971.

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

It is not a de Polignac number, because 17949 - 2¹¹ = 15901 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 189.

It is an arithmetic number, because the mean of its divisors is an integer number (3104).

2¹⁷⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

17949 is a deficient number, since it is larger than the sum of its proper divisors (6883).

17949 is a wasteful number, since it uses less digits than its factorization.

17949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227.

The product of its digits is 2268, while the sum is 30.

The square root of 17949 is about 133.9738780509. The cubic root of 17949 is about 26.1826390824.

The spelling of 17949 in words is "seventeen thousand, nine hundred forty-nine".