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8397 = 33311
BaseRepresentation
bin10000011001101
3102112000
42003031
5232042
6102513
733324
oct20315
912460
108397
116344
124a39
133a8c
1430bb
15274c
hex20cd

8397 has 8 divisors (see below), whose sum is σ = 12480. Its totient is φ = 5580.

The previous prime is 8389. The next prime is 8419. The reversal of 8397 is 7938.

It is a happy number.

It is not a de Polignac number, because 8397 - 23 = 8389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 311 = 8397 / (8 + 3 + 9 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 8397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129 + ... + 182.

It is an arithmetic number, because the mean of its divisors is an integer number (1560).

28397 is an apocalyptic number.

It is an amenable number.

8397 is a deficient number, since it is larger than the sum of its proper divisors (4083).

8397 is a wasteful number, since it uses less digits than its factorization.

8397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 8397 is about 91.6351460958. The cubic root of 8397 is about 20.3255068568.

The spelling of 8397 in words is "eight thousand, three hundred ninety-seven".

Divisors: 1 3 9 27 311 933 2799 8397