3958 has 4 divisors (see below), whose sum is σ = 5940. Its totient is φ = 1978.

The previous prime is 3947. The next prime is 3967. The reversal of 3958 is 8593.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 8593 = 13 ⋅661.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

3958 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 988 + ... + 991.

It is an arithmetic number, because the mean of its divisors is an integer number (1485).

2³⁹⁵⁸ is an apocalyptic number.

3958 is a deficient number, since it is larger than the sum of its proper divisors (1982).

3958 is a wasteful number, since it uses less digits than its factorization.

3958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981.

The product of its digits is 1080, while the sum is 25.

The square root of 3958 is about 62.9126378401. The cubic root of 3958 is about 15.8182558839.

It can be divided in two parts, 395 and 8, that multiplied together give a triangular number (3160 = T₇₉).

The spelling of 3958 in words is "three thousand, nine hundred fifty-eight".