8005397 has 2 divisors, whose sum is σ = 8005398. Its totient is φ = 8005396.

The previous prime is 8005391. The next prime is 8005411. The reversal of 8005397 is 7935008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6180196 + 1825201 = 2486^2 + 1351^2 .

It is a cyclic number.

It is not a de Polignac number, because 8005397 - 2⁸ = 8005141 is a prime.

It is a super-2 number, since 2×8005397² = 128172762255218, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8005391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4002698 + 4002699.

It is an arithmetic number, because the mean of its divisors is an integer number (4002699).

Almost surely, 2^8005397 is an apocalyptic number.

It is an amenable number.

8005397 is a deficient number, since it is larger than the sum of its proper divisors (1).

8005397 is an equidigital number, since it uses as much as digits as its factorization.

8005397 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 8005397 is about 2829.3810277161. The cubic root of 8005397 is about 200.0449648900.

The spelling of 8005397 in words is "eight million, five thousand, three hundred ninety-seven".