397753 has 2 divisors, whose sum is σ = 397754. Its totient is φ = 397752.

The previous prime is 397751. The next prime is 397757. The reversal of 397753 is 357793.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 393129 + 4624 = 627^2 + 68^2 .

It is an emirp because it is prime and its reverse (357793) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 397753 - 2¹ = 397751 is a prime.

Together with 397751, it forms a pair of twin primes.

397753 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (397751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 198876 + 198877.

It is an arithmetic number, because the mean of its divisors is an integer number (198877).

2³⁹⁷⁷⁵³ is an apocalyptic number.

It is an amenable number.

397753 is a deficient number, since it is larger than the sum of its proper divisors (1).

397753 is an equidigital number, since it uses as much as digits as its factorization.

397753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19845, while the sum is 34.

The square root of 397753 is about 630.6766207812. The cubic root of 397753 is about 73.5424038407.

The spelling of 397753 in words is "three hundred ninety-seven thousand, seven hundred fifty-three".