725955817 has 2 divisors, whose sum is σ = 725955818. Its totient is φ = 725955816.

The previous prime is 725955751. The next prime is 725955821. The reversal of 725955817 is 718559527.

725955817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 634485721 + 91470096 = 25189^2 + 9564^2 .

It is a cyclic number.

It is not a de Polignac number, because 725955817 - 2⁷ = 725955689 is a prime.

It is a super-2 number, since 2×725955817² = 1054023696472274978, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (725955827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362977908 + 362977909.

It is an arithmetic number, because the mean of its divisors is an integer number (362977909).

Almost surely, 2^725955817 is an apocalyptic number.

It is an amenable number.

725955817 is a deficient number, since it is larger than the sum of its proper divisors (1).

725955817 is an equidigital number, since it uses as much as digits as its factorization.

725955817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 882000, while the sum is 49.

The square root of 725955817 is about 26943.5672656759. The cubic root of 725955817 is about 898.7455019786.

It can be divided in two parts, 72 and 5955817, that multiplied together give a palindrome (428818824).

The spelling of 725955817 in words is "seven hundred twenty-five million, nine hundred fifty-five thousand, eight hundred seventeen".