8006397 has 16 divisors (see below), whose sum is σ = 12280320. Its totient is φ = 4545072.

The previous prime is 8006387. The next prime is 8006437. The reversal of 8006397 is 7936008.

It is a happy number.

It is not a de Polignac number, because 8006397 - 2⁶ = 8006333 is a prime.

8006397 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006347) 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, 2254 + ... + 4592.

It is an arithmetic number, because the mean of its divisors is an integer number (767520).

Almost surely, 2^8006397 is an apocalyptic number.

It is an amenable number.

8006397 is a deficient number, since it is larger than the sum of its proper divisors (4273923).

8006397 is a wasteful number, since it uses less digits than its factorization.

8006397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 8006397 is about 2829.5577392943. The cubic root of 8006397 is about 200.0532941308.

The spelling of 8006397 in words is "eight million, six thousand, three hundred ninety-seven".