724957 has 4 divisors (see below), whose sum is σ = 728800. Its totient is φ = 721116.

The previous prime is 724949. The next prime is 724961. The reversal of 724957 is 759427.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 759427 = 79 ⋅9613.

It is a cyclic number.

It is not a de Polignac number, because 724957 - 2³ = 724949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1623 + ... + 2020.

It is an arithmetic number, because the mean of its divisors is an integer number (182200).

2⁷²⁴⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

724957 is a deficient number, since it is larger than the sum of its proper divisors (3843).

724957 is a wasteful number, since it uses less digits than its factorization.

724957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842.

The product of its digits is 17640, while the sum is 34.

The square root of 724957 is about 851.4440674525. Note that the first 3 decimals coincide. The cubic root of 724957 is about 89.8333128720.

It can be divided in two parts, 724 and 957, that added together give a square (1681 = 41²).

The spelling of 724957 in words is "seven hundred twenty-four thousand, nine hundred fifty-seven".