7964 has 12 divisors (see below), whose sum is σ = 15288. Its totient is φ = 3600.

The previous prime is 7963. The next prime is 7993. The reversal of 7964 is 4697.

It is a d-powerful number, because it can be written as 7³ + 6² + 9⁴ + 4⁵ .

It is a plaindrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47 + ... + 134.

It is an arithmetic number, because the mean of its divisors is an integer number (1274).

2⁷⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

7964 is a deficient number, since it is larger than the sum of its proper divisors (7324).

7964 is a wasteful number, since it uses less digits than its factorization.

7964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 7964 is about 89.2412460693. The cubic root of 7964 is about 19.9699548872.

The spelling of 7964 in words is "seven thousand, nine hundred sixty-four".