6953 has 4 divisors (see below), whose sum is σ = 7380. Its totient is φ = 6528.

The previous prime is 6949. The next prime is 6959. The reversal of 6953 is 3596.

6953 is nontrivially palindromic in base 7 and base 8.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5929 + 1024 = 77^2 + 32^2 .

It is not a de Polignac number, because 6953 - 2² = 6949 is a prime.

It is a Duffinian number.

It is a Curzon number.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (1845).

2⁶⁹⁵³ is an apocalyptic number.

It is an amenable number.

6953 is a deficient number, since it is larger than the sum of its proper divisors (427).

6953 is a wasteful number, since it uses less digits than its factorization.

6953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426.

The product of its digits is 810, while the sum is 23.

The square root of 6953 is about 83.3846508657. The cubic root of 6953 is about 19.0864024269.

It can be divided in two parts, 6 and 953, that added together give a palindrome (959).

The spelling of 6953 in words is "six thousand, nine hundred fifty-three".