397633 has 2 divisors, whose sum is σ = 397634. Its totient is φ = 397632.

The previous prime is 397597. The next prime is 397643. The reversal of 397633 is 336793.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 394384 + 3249 = 628^2 + 57^2 .

It is an emirp because it is prime and its reverse (336793) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-397633 is a prime.

It is a super-2 number, since 2×397633² = 316224005378, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3 + 9 + 6⁷ + 7⁶ + 3² + 3³ .

It is a junction number, because it is equal to n+sod(n) for n = 397595 and 397604.

It is not a weakly prime, because it can be changed into another prime (397643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 198816 + 198817.

It is an arithmetic number, because the mean of its divisors is an integer number (198817).

2³⁹⁷⁶³³ is an apocalyptic number.

It is an amenable number.

397633 is a deficient number, since it is larger than the sum of its proper divisors (1).

397633 is an equidigital number, since it uses as much as digits as its factorization.

397633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10206, while the sum is 31.

The square root of 397633 is about 630.5814776855. The cubic root of 397633 is about 73.5350073106.

The spelling of 397633 in words is "three hundred ninety-seven thousand, six hundred thirty-three".