Search a number
-
+
39117 = 3131759
BaseRepresentation
bin1001100011001101
31222122210
421203031
52222432
6501033
7222021
oct114315
958583
1039117
1127431
121a779
1314a60
1410381
15b8cc
hex98cd

39117 has 16 divisors (see below), whose sum is σ = 60480. Its totient is φ = 22272.

The previous prime is 39113. The next prime is 39119. The reversal of 39117 is 71193.

39117 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 39117 - 22 = 39113 is a prime.

39117 is a modest number, since divided by 117 gives 39 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 39093 and 39102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39113) 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, 634 + ... + 692.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

239117 is an apocalyptic number.

It is an amenable number.

39117 is a deficient number, since it is larger than the sum of its proper divisors (21363).

39117 is a wasteful number, since it uses less digits than its factorization.

39117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92.

The product of its digits is 189, while the sum is 21.

The square root of 39117 is about 197.7801810091. The cubic root of 39117 is about 33.9459926889.

The spelling of 39117 in words is "thirty-nine thousand, one hundred seventeen".

Divisors: 1 3 13 17 39 51 59 177 221 663 767 1003 2301 3009 13039 39117