723513 has 16 divisors (see below), whose sum is σ = 1115136. Its totient is φ = 408720.

The previous prime is 723493. The next prime is 723529. The reversal of 723513 is 315327.

It is a happy number.

It is not a de Polignac number, because 723513 - 2⁸ = 723257 is a prime.

It is a super-2 number, since 2×723513² = 1046942122338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

723513 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 723513.

It is not an unprimeable number, because it can be changed into a prime (723553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2620 + ... + 2882.

It is an arithmetic number, because the mean of its divisors is an integer number (69696).

2⁷²³⁵¹³ is an apocalyptic number.

It is an amenable number.

723513 is a deficient number, since it is larger than the sum of its proper divisors (391623).

723513 is a wasteful number, since it uses less digits than its factorization.

723513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404.

The product of its digits is 630, while the sum is 21.

The square root of 723513 is about 850.5956736311. The cubic root of 723513 is about 89.7736286305.

723513 divided by its sum of digits (21) gives a triangular number (34453 = T₂₆₂).

The spelling of 723513 in words is "seven hundred twenty-three thousand, five hundred thirteen".