969 has 8 divisors (see below), whose sum is σ = 1440. Its totient is φ = 576.

The previous prime is 967. The next prime is 971.

It can be divided in two parts, 96 and 9, that added together give a triangular number (105 = T_{14}).

969 = T_{1} + T_{2} + ... +
T_{17}.

969 is nontrivially palindromic in base 10.

969 is a nontrivial binomial coefficient, being equal to C(19, 3).

It is an interprime number because it is at equal distance from previous prime (967) and next prime (971).

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

It is not a de Polignac number, because 969 - 2^{1} = 967 is a prime.

It is a super-2 number, since 2×969^{2} = 1877922, which contains 22 as substring.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 9 and 69 contains 969 itself.

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

969 is an undulating number in base 10.

It is a plaindrome in base 5, base 12 and base 15.

It is not an unprimeable number, because it can be changed into a prime (967) by changing a digit.

It is the 17-th tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42 + ... + 60.

It is an arithmetic number, because the mean of its divisors is an integer number (180).

969 is the 17-th nonagonal number.

It is an amenable number.

969 is a deficient number, since it is larger than the sum of its proper divisors (471).

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

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

The sum of its prime factors is 39.

The product of its digits is 486, while the sum is 24.

The square root of 969 is about 31.1287648325. The cubic root of 969 is about 9.8955801105.

The spelling of 969 in words is "nine hundred sixty-nine", and thus it is an aban number and an oban number.

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