725948397 has 12 divisors (see below), whose sum is σ = 1048844160. Its totient is φ = 483849288.

The previous prime is 725948389. The next prime is 725948437. The reversal of 725948397 is 793849527.

725948397 is a `hidden beast` number, since 72 + 5 + 9 + 483 + 97 = 666.

It is not a de Polignac number, because 725948397 - 2³ = 725948389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725941397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47754 + ... + 61092.

It is an arithmetic number, because the mean of its divisors is an integer number (87403680).

Almost surely, 2^725948397 is an apocalyptic number.

It is an amenable number.

725948397 is a deficient number, since it is larger than the sum of its proper divisors (322895763).

725948397 is a wasteful number, since it uses less digits than its factorization.

725948397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19392 (or 19389 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 725948397 is about 26943.4295701197. The cubic root of 725948397 is about 898.7424399399.

The spelling of 725948397 in words is "seven hundred twenty-five million, nine hundred forty-eight thousand, three hundred ninety-seven".