8405397 has 64 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 4017600.

The previous prime is 8405393. The next prime is 8405407. The reversal of 8405397 is 7935048.

It is not a de Polignac number, because 8405397 - 2² = 8405393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8405393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26872 + ... + 27182.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^8405397 is an apocalyptic number.

It is an amenable number.

8405397 is a deficient number, since it is larger than the sum of its proper divisors (8367723).

8405397 is a wasteful number, since it uses less digits than its factorization.

8405397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8405397 is about 2899.2062706886. The cubic root of 8405397 is about 203.3227976864.

The spelling of 8405397 in words is "eight million, four hundred five thousand, three hundred ninety-seven".