7946 has 8 divisors (see below), whose sum is σ = 12420. Its totient is φ = 3808.

The previous prime is 7937. The next prime is 7949. The reversal of 7946 is 6497.

7946 = 20² + 21² + ... + 31².

It can be written as a sum of positive squares in 2 ways, for example, as 7921 + 25 = 89^2 + 5^2 .

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

Its product of digits (1512) is a multiple of the sum of its prime divisors (168).

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (7949) 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, 11 + ... + 126.

2⁷⁹⁴⁶ is an apocalyptic number.

7946 is a deficient number, since it is larger than the sum of its proper divisors (4474).

7946 is a wasteful number, since it uses less digits than its factorization.

7946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168.

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

The square root of 7946 is about 89.1403387923. The cubic root of 7946 is about 19.9548983686.

It can be divided in two parts, 79 and 46, that added together give a cube (125 = 5³).

The spelling of 7946 in words is "seven thousand, nine hundred forty-six".