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17953 = 131381
BaseRepresentation
bin100011000100001
3220121221
410120201
51033303
6215041
7103225
oct43041
926557
1017953
1112541
12a481
138230
146785
1554bd
hex4621

17953 has 4 divisors (see below), whose sum is σ = 19348. Its totient is φ = 16560.

The previous prime is 17939. The next prime is 17957. The reversal of 17953 is 35971.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 35971 = 132767.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 12769 = 72^2 + 113^2 .

It is a cyclic number.

It is not a de Polignac number, because 17953 - 25 = 17921 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 678 + ... + 703.

It is an arithmetic number, because the mean of its divisors is an integer number (4837).

217953 is an apocalyptic number.

17953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

17953 is a deficient number, since it is larger than the sum of its proper divisors (1395).

17953 is a wasteful number, since it uses less digits than its factorization.

17953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394.

The product of its digits is 945, while the sum is 25.

The square root of 17953 is about 133.9888055025. The cubic root of 17953 is about 26.1845839034.

It can be divided in two parts, 179 and 53, that added together give a palindrome (232).

The spelling of 17953 in words is "seventeen thousand, nine hundred fifty-three".

Divisors: 1 13 1381 17953