725953 has 2 divisors, whose sum is σ = 725954. Its totient is φ = 725952.

The previous prime is 725939. The next prime is 725981. The reversal of 725953 is 359527.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 725904 + 49 = 852^2 + 7^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-725953 is a prime.

It is not a weakly prime, because it can be changed into another prime (725983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362976 + 362977.

It is an arithmetic number, because the mean of its divisors is an integer number (362977).

2⁷²⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

725953 is a deficient number, since it is larger than the sum of its proper divisors (1).

725953 is an equidigital number, since it uses as much as digits as its factorization.

725953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9450, while the sum is 31.

The square root of 725953 is about 852.0287553833. The cubic root of 725953 is about 89.8744339479.

The spelling of 725953 in words is "seven hundred twenty-five thousand, nine hundred fifty-three".