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117677 = 716811
BaseRepresentation
bin11100101110101101
312222102102
4130232231
512231202
62304445
71000040
oct345655
9188372
10117677
118045a
1258125
1341741
1430c57
1524d02
hex1cbad

117677 has 4 divisors (see below), whose sum is σ = 134496. Its totient is φ = 100860.

The previous prime is 117673. The next prime is 117679. The reversal of 117677 is 776711.

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, and also an emirpimes, since its reverse is a distinct semiprime: 776711 = 1359747.

It is a cyclic number.

It is not a de Polignac number, because 117677 - 22 = 117673 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 117677.

It is not an unprimeable number, because it can be changed into a prime (117671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8399 + ... + 8412.

It is an arithmetic number, because the mean of its divisors is an integer number (33624).

117677 is a Friedman number, since it can be written as 7^6+(7+7)*(1+1), using all its digits and the basic arithmetic operations.

2117677 is an apocalyptic number.

It is an amenable number.

117677 is a deficient number, since it is larger than the sum of its proper divisors (16819).

117677 is an equidigital number, since it uses as much as digits as its factorization.

117677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16818.

The product of its digits is 2058, while the sum is 29.

The square root of 117677 is about 343.0408138983. The cubic root of 117677 is about 49.0038869608.

It can be divided in two parts, 11767 and 7, that multiplied together give a square (82369 = 2872).

The spelling of 117677 in words is "one hundred seventeen thousand, six hundred seventy-seven".

Divisors: 1 7 16811 117677