697410382321 has 9 divisors (see below), whose sum is σ = 701204683851. Its totient is φ = 693636515712.

The previous prime is 697410382309. The next prime is 697410382547. The reversal of 697410382321 is 123283014796.

The square root of 697410382321 is 835111.

It is a perfect power (a square), and thus also a powerful number.

697410382321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 168974434225 + 528435948096 = 411065^2 + 726936^2 .

It is not a de Polignac number, because 697410382321 - 2⁹ = 697410381809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (697410352321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 161174260 + ... + 161178586.

It is an arithmetic number, because the mean of its divisors is an integer number (77911631539).

Almost surely, 2^697410382321 is an apocalyptic number.

697410382321 is the 835111-st square number.

697410382321 is the 417556-th centered octagonal number.

It is an amenable number.

697410382321 is a deficient number, since it is larger than the sum of its proper divisors (3794301530).

697410382321 is an frugal number, since it uses more digits than its factorization.

697410382321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9040 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 697410382321 in words is "six hundred ninety-seven billion, four hundred ten million, three hundred eighty-two thousand, three hundred twenty-one".