725041 has 2 divisors, whose sum is σ = 725042. Its totient is φ = 725040.

The previous prime is 725009. The next prime is 725057. The reversal of 725041 is 140527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 531441 + 193600 = 729^2 + 440^2 .

It is an emirp because it is prime and its reverse (140527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 725041 - 2⁵ = 725009 is a prime.

It is equal to p₅₈₄₂₀ and since 725041 and 58420 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (725071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362520 + 362521.

It is an arithmetic number, because the mean of its divisors is an integer number (362521).

2⁷²⁵⁰⁴¹ is an apocalyptic number.

It is an amenable number.

725041 is a deficient number, since it is larger than the sum of its proper divisors (1).

725041 is an equidigital number, since it uses as much as digits as its factorization.

725041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 725041 is about 851.4933939849. The cubic root of 725041 is about 89.8367823683.

Adding to 725041 its reverse (140527), we get a palindrome (865568).

The spelling of 725041 in words is "seven hundred twenty-five thousand, forty-one".