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93117 = 331039
BaseRepresentation
bin10110101110111101
311201201210
4112232331
510434432
61555033
7535323
oct265675
9151653
1093117
1163a62
1245a79
13334cb
1425d13
151c8cc
hex16bbd

93117 has 4 divisors (see below), whose sum is σ = 124160. Its totient is φ = 62076.

The previous prime is 93113. The next prime is 93131. The reversal of 93117 is 71139.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 93117 - 22 = 93113 is a prime.

It is a D-number.

It is a Duffinian number.

93117 is a lucky number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 93093 and 93102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15517 + ... + 15522.

It is an arithmetic number, because the mean of its divisors is an integer number (31040).

293117 is an apocalyptic number.

It is an amenable number.

93117 is a deficient number, since it is larger than the sum of its proper divisors (31043).

93117 is a wasteful number, since it uses less digits than its factorization.

93117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31042.

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

The square root of 93117 is about 305.1507824011. The cubic root of 93117 is about 45.3255405194.

Subtracting from 93117 its sum of digits (21), we obtain a triangular number (93096 = T431).

It can be divided in two parts, 93 and 117, that added together give a triangular number (210 = T20).

The spelling of 93117 in words is "ninety-three thousand, one hundred seventeen".

Divisors: 1 3 31039 93117