7958 has 8 divisors (see below), whose sum is σ = 12528. Its totient is φ = 3784.

The previous prime is 7951. The next prime is 7963. The reversal of 7958 is 8597.

It is a happy number.

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

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 7958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7951) 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, 41 + ... + 132.

It is an arithmetic number, because the mean of its divisors is an integer number (1566).

2⁷⁹⁵⁸ is an apocalyptic number.

7958 is a deficient number, since it is larger than the sum of its proper divisors (4570).

7958 is a wasteful number, since it uses less digits than its factorization.

7958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198.

The product of its digits is 2520, while the sum is 29.

The square root of 7958 is about 89.2076229927. The cubic root of 7958 is about 19.9649385707.

The spelling of 7958 in words is "seven thousand, nine hundred fifty-eight".