6957252 has 60 divisors (see below), whose sum is σ = 18447660. Its totient is φ = 2286144.

The previous prime is 6957229. The next prime is 6957253. The reversal of 6957252 is 2527596.

It can be written as a sum of positive squares in 2 ways, for example, as 6081156 + 876096 = 2466^2 + 936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6957253) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35218 + ... + 35414.

It is an arithmetic number, because the mean of its divisors is an integer number (307461).

Almost surely, 2^6957252 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 6957252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9223830).

6957252 is an abundant number, since it is smaller than the sum of its proper divisors (11490408).

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

6957252 is a wasteful number, since it uses less digits than its factorization.

6957252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 6957252 is about 2637.6603268806. The cubic root of 6957252 is about 190.9029229918.

The spelling of 6957252 in words is "six million, nine hundred fifty-seven thousand, two hundred fifty-two".