752313 has 8 divisors (see below), whose sum is σ = 1019776. Its totient is φ = 493200.

The previous prime is 752303. The next prime is 752351. The reversal of 752313 is 313257.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 752313 - 2⁵ = 752281 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 752313.

It is not an unprimeable number, because it can be changed into a prime (752303) 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 7 ways as a sum of consecutive naturals, for example, 1873 + ... + 2238.

It is an arithmetic number, because the mean of its divisors is an integer number (127472).

2⁷⁵²³¹³ is an apocalyptic number.

It is an amenable number.

752313 is a deficient number, since it is larger than the sum of its proper divisors (267463).

752313 is a wasteful number, since it uses less digits than its factorization.

752313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175.

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

The square root of 752313 is about 867.3597869397. The cubic root of 752313 is about 90.9493337890.

The spelling of 752313 in words is "seven hundred fifty-two thousand, three hundred thirteen".