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11997 = 323143
BaseRepresentation
bin10111011011101
3121110100
42323131
5340442
6131313
746656
oct27335
917410
1011997
119017
126b39
1355cb
14452d
15384c
hex2edd

11997 has 12 divisors (see below), whose sum is σ = 18304. Its totient is φ = 7560.

The previous prime is 11987. The next prime is 12007. The reversal of 11997 is 79911.

11997 is nontrivially palindromic in base 2.

It is an interprime number because it is at equal distance from previous prime (11987) and next prime (12007).

It is not a de Polignac number, because 11997 - 24 = 11981 is a prime.

It is a Duffinian number.

11997 is an undulating number in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 11997.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258 + ... + 300.

211997 is an apocalyptic number.

It is an amenable number.

11997 is a deficient number, since it is larger than the sum of its proper divisors (6307).

11997 is a wasteful number, since it uses less digits than its factorization.

11997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 77 counting only the distinct ones).

The product of its digits is 567, while the sum is 27.

The square root of 11997 is about 109.5308175812. The cubic root of 11997 is about 22.8923768350.

It can be divided in two parts, 119 and 97, that added together give a cube (216 = 63).

The spelling of 11997 in words is "eleven thousand, nine hundred ninety-seven".

Divisors: 1 3 9 31 43 93 129 279 387 1333 3999 11997