705321 has 16 divisors (see below), whose sum is σ = 1057920. Its totient is φ = 464400.

The previous prime is 705317. The next prime is 705389. The reversal of 705321 is 123507.

Added to its reverse (123507) it gives a triangular number (828828 = T₁₂₈₇).

It is not a de Polignac number, because 705321 - 2² = 705317 is a prime.

It is a house number.

It is a junction number, because it is equal to n+sod(n) for n = 705294 and 705303.

It is not an unprimeable number, because it can be changed into a prime (705421) 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, 3991 + ... + 4163.

It is an arithmetic number, because the mean of its divisors is an integer number (66120).

2⁷⁰⁵³²¹ is an apocalyptic number.

It is an amenable number.

705321 is a deficient number, since it is larger than the sum of its proper divisors (352599).

705321 is a wasteful number, since it uses less digits than its factorization.

705321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 705321 is about 839.8339121517. The cubic root of 705321 is about 89.0148104797.

Adding to 705321 its reverse (123507), we get a palindrome (828828).

The spelling of 705321 in words is "seven hundred five thousand, three hundred twenty-one".