725033 has 4 divisors (see below), whose sum is σ = 767700. Its totient is φ = 682368.

The previous prime is 725009. The next prime is 725041. The reversal of 725033 is 330527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 330527 = 103 ⋅3209.

It can be written as a sum of positive squares in 2 ways, for example, as 506944 + 218089 = 712^2 + 467^2 .

It is a cyclic number.

It is not a de Polignac number, because 725033 - 2⁸ = 724777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 724996 and 725014.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725033.

It is not an unprimeable number, because it can be changed into a prime (745033) 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 in 3 ways as a sum of consecutive naturals, for example, 21308 + ... + 21341.

It is an arithmetic number, because the mean of its divisors is an integer number (191925).

2⁷²⁵⁰³³ is an apocalyptic number.

It is an amenable number.

725033 is a deficient number, since it is larger than the sum of its proper divisors (42667).

725033 is a wasteful number, since it uses less digits than its factorization.

725033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42666.

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 725033 is about 851.4886963431. The cubic root of 725033 is about 89.8364519516.

The spelling of 725033 in words is "seven hundred twenty-five thousand, thirty-three".