6964 has 6 divisors (see below), whose sum is σ = 12194.
Its totient is φ = 3480.
The previous prime is 6961. The next prime is 6967. The reversal of 6964 is 4696.
6964 = T57 + T58 + ... +
It is an interprime number because it is at equal distance from previous prime (6961) and next prime (6967).
It can be written as a sum of positive squares in only one way, i.e., 3600 + 3364 = 60^2 + 58^2
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6961) 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 as a sum of consecutive naturals, namely, 867 + ... + 874.
26964 is an apocalyptic number.
It is an amenable number.
6964 is a deficient number, since it is larger than the sum of its proper divisors (5230).
6964 is a wasteful number, since it uses less digits than its factorization.
6964 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1745 (or 1743 counting only the distinct ones).
The product of its digits is 1296, while the sum is 25.
The square root of 6964 is about 83.4505841801.
The cubic root of 6964 is about 19.0964623438.
The spelling of 6964 in words is "six thousand, nine hundred sixty-four".