7951 has 2 divisors, whose sum is σ = 7952. Its totient is φ = 7950.

The previous prime is 7949. The next prime is 7963. The reversal of 7951 is 1597.

It is a weak prime.

It is an emirp because it is prime and its reverse (1597) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7951 - 2¹ = 7949 is a prime.

Together with 7949, it forms a pair of twin primes.

7951 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3975 + 3976.

It is an arithmetic number, because the mean of its divisors is an integer number (3976).

2⁷⁹⁵¹ is an apocalyptic number.

7951 is a deficient number, since it is larger than the sum of its proper divisors (1).

7951 is an equidigital number, since it uses as much as digits as its factorization.

7951 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 315, while the sum is 22.

The square root of 7951 is about 89.1683800458. The cubic root of 7951 is about 19.9590830138.

The spelling of 7951 in words is "seven thousand, nine hundred fifty-one".