51917 has 4 divisors (see below), whose sum is σ = 52380. Its totient is φ = 51456.

The previous prime is 51913. The next prime is 51929. The reversal of 51917 is 71915.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 7396 + 44521 = 86^2 + 211^2 .

It is a cyclic number.

It is not a de Polignac number, because 51917 - 2^{2} = 51913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 51892 and 51901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51913) 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, 59 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (13095).

2^{51917} is an apocalyptic number.

It is an amenable number.

51917 is a deficient number, since it is larger than the sum of its proper divisors (463).

51917 is a wasteful number, since it uses less digits than its factorization.

51917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462.

The product of its digits is 315, while the sum is 23.

The square root of 51917 is about 227.8530228020. The cubic root of 51917 is about 37.3052421194.

The spelling of 51917 in words is "fifty-one thousand, nine hundred seventeen".

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