725653 has 2 divisors, whose sum is σ = 725654. Its totient is φ = 725652.

The previous prime is 725639. The next prime is 725663. The reversal of 725653 is 356527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 702244 + 23409 = 838^2 + 153^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-725653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362826 + 362827.

It is an arithmetic number, because the mean of its divisors is an integer number (362827).

2⁷²⁵⁶⁵³ is an apocalyptic number.

It is an amenable number.

725653 is a deficient number, since it is larger than the sum of its proper divisors (1).

725653 is an equidigital number, since it uses as much as digits as its factorization.

725653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6300, while the sum is 28.

The square root of 725653 is about 851.8526867951. The cubic root of 725653 is about 89.8620520421.

It can be divided in two parts, 725 and 653, that added together give a triangular number (1378 = T₅₂).

The spelling of 725653 in words is "seven hundred twenty-five thousand, six hundred fifty-three".