7949 has 2 divisors, whose sum is σ = 7950. Its totient is φ = 7948.

The previous prime is 7937. The next prime is 7951. The reversal of 7949 is 9497.

7949 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6724 + 1225 = 82^2 + 35^2 .

It is an emirp because it is prime and its reverse (9497) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7949 - 2⁴ = 7933 is a prime.

Together with 7951, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3974 + 3975.

It is an arithmetic number, because the mean of its divisors is an integer number (3975).

2⁷⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

7949 is a deficient number, since it is larger than the sum of its proper divisors (1).

7949 is an equidigital number, since it uses as much as digits as its factorization.

7949 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2268, while the sum is 29.

The square root of 7949 is about 89.1571646027. The cubic root of 7949 is about 19.9574093663.

It can be divided in two parts, 79 and 49, that added together give a 7-th power (128 = 2⁷).

The spelling of 7949 in words is "seven thousand, nine hundred forty-nine".