Search a number
-
+
73117 = 1117223
BaseRepresentation
bin10001110110011101
310201022001
4101312131
54314432
61322301
7423112
oct216635
9121261
1073117
114aa30
1236391
1327385
141c909
15169e7
hex11d9d

73117 has 12 divisors (see below), whose sum is σ = 88416. Its totient is φ = 59840.

The previous prime is 73091. The next prime is 73121. The reversal of 73117 is 71137.

It is a happy number.

It is not a de Polignac number, because 73117 - 211 = 71069 is a prime.

It is a Duffinian number.

73117 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 73094 and 73103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73127) 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, 3168 + ... + 3190.

It is an arithmetic number, because the mean of its divisors is an integer number (7368).

273117 is an apocalyptic number.

It is an amenable number.

73117 is a deficient number, since it is larger than the sum of its proper divisors (15299).

73117 is a wasteful number, since it uses less digits than its factorization.

73117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 51 counting only the distinct ones).

The product of its digits is 147, while the sum is 19.

The square root of 73117 is about 270.4015532500. The cubic root of 73117 is about 41.8157080223.

It can be divided in two parts, 73 and 117, that added together give a triangular number (190 = T19).

The spelling of 73117 in words is "seventy-three thousand, one hundred seventeen", and thus it is an iban number.

Divisors: 1 11 17 23 187 253 289 391 3179 4301 6647 73117