6952 has 16 divisors (see below), whose sum is σ = 14400. Its totient is φ = 3120.

The previous prime is 6949. The next prime is 6959. The reversal of 6952 is 2596.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 3 ways as a sum of consecutive naturals, for example, 49 + ... + 127.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

2⁶⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200).

6952 is an abundant number, since it is smaller than the sum of its proper divisors (7448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6952 is a wasteful number, since it uses less digits than its factorization.

6952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The square root of 6952 is about 83.3786543427. The cubic root of 6952 is about 19.0854873630.

Subtracting from 6952 its reverse (2596), we obtain a square (4356 = 66²).

It can be divided in two parts, 69 and 52, that added together give a palindrome (121).

The spelling of 6952 in words is "six thousand, nine hundred fifty-two".