949 has 4 divisors (see below), whose sum is σ = 1036. Its totient is φ = 864.

The previous prime is 947. The next prime is 953.

949 = T_{5} + T_{6} + ... +
T_{17}.

949 is nontrivially palindromic in base 10 and base 15.

949 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 324 + 625 = 18^2 + 25^2 .

It is a 3-Lehmer number, since φ(949) divides (949-1)^{3}.

It is a cyclic number.

It is not a de Polignac number, because 949 - 2^{1} = 947 is a prime.

It is an Ulam number.

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

It is a Duffinian number.

949 is an undulating number in base 10 and base 15.

It is a plaindrome in base 5 and base 14.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (941) 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 3 ways as a sum of consecutive naturals, for example, 24 + ... + 49.

It is an arithmetic number, because the mean of its divisors is an integer number (259).

It is an amenable number.

949 is a deficient number, since it is larger than the sum of its proper divisors (87).

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

With its predecessor (948) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (86).

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

The sum of its prime factors is 86.

The product of its digits is 324, while the sum is 22.

The square root of 949 is about 30.8058436015. The cubic root of 949 is about 9.8270252242.

Subtracting from 949 its product of digits (324), we obtain a 4-th power (625 = 5^{4}).

It can be divided in two parts, 9 and 49, that multiplied together give a square (441 = 21^{2}).

The spelling of 949 in words is "nine hundred forty-nine", and thus it is an aban number.

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