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BaseRepresentation
bin100010010101
310000101
4202111
532242
614101
76256
oct4225
93011
102197
111718
121331
131000
14b2d
159b7
hex895

2197 has 4 divisors (see below), whose sum is σ = 2380. Its totient is φ = 2028.

The previous prime is 2179. The next prime is 2203. The reversal of 2197 is 7912.

The cubic root of 2197 is 13.

It is a perfect power (a cube), and thus also a powerful number.

2197 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 81 + 2116 = 9^2 + 46^2 .

It is not a de Polignac number, because 2197 - 27 = 2069 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163 + ... + 175.

It is an arithmetic number, because the mean of its divisors is an integer number (595).

It is an amenable number.

2197 is a deficient number, since it is larger than the sum of its proper divisors (183).

2197 is an frugal number, since it uses more digits than its factorization.

2197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 13 counting only the distinct ones).

The product of its digits is 126, while the sum is 19.

The square root of 2197 is about 46.8721665810.

The spelling of 2197 in words is "two thousand, one hundred ninety-seven".

Divisors: 1 13 169 2197