6958 has 12 divisors (see below), whose sum is σ = 12312. Its totient is φ = 2940.

The previous prime is 6949. The next prime is 6959. The reversal of 6958 is 8596.

6958 is nontrivially palindromic in base 13.

Its product of digits (2160) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63 + ... + 133.

It is an arithmetic number, because the mean of its divisors is an integer number (1026).

2⁶⁹⁵⁸ is an apocalyptic number.

6958 is a deficient number, since it is larger than the sum of its proper divisors (5354).

6958 is a wasteful number, since it uses less digits than its factorization.

6958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 80 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 6958 is about 83.4146270147. The cubic root of 6958 is about 19.0909764307.

It can be divided in two parts, 695 and 8, that added together give a triangular number (703 = T₃₇).

The spelling of 6958 in words is "six thousand, nine hundred fifty-eight".