6725897 has 12 divisors (see below), whose sum is σ = 7344540. Its totient is φ = 6159168.

The previous prime is 6725891. The next prime is 6725899. The reversal of 6725897 is 7985276.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1577536 + 5148361 = 1256^2 + 2269^2 .

It is not a de Polignac number, because 6725897 - 2⁴ = 6725881 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (211680) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (6725891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181763 + ... + 181799.

It is an arithmetic number, because the mean of its divisors is an integer number (612045).

Almost surely, 2^6725897 is an apocalyptic number.

It is an amenable number.

6725897 is a deficient number, since it is larger than the sum of its proper divisors (618643).

6725897 is an frugal number, since it uses more digits than its factorization.

6725897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 54 counting only the distinct ones).

The product of its digits is 211680, while the sum is 44.

The square root of 6725897 is about 2593.4334385135. The cubic root of 6725897 is about 188.7629419660.

The spelling of 6725897 in words is "six million, seven hundred twenty-five thousand, eight hundred ninety-seven".