51617 has 4 divisors (see below), whose sum is σ = 52416. Its totient is φ = 50820.

The previous prime is 51613. The next prime is 51631. The reversal of 51617 is 71615.

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: 71615 = 5 ⋅14323.

It is a cyclic number.

It is not a de Polignac number, because 51617 - 2² = 51613 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51617.

It is not an unprimeable number, because it can be changed into a prime (51613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 293 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2⁵¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

51617 is a deficient number, since it is larger than the sum of its proper divisors (799).

51617 is an equidigital number, since it uses as much as digits as its factorization.

51617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798.

The product of its digits is 210, while the sum is 20.

The square root of 51617 is about 227.1937499140. The cubic root of 51617 is about 37.2332477260.

The spelling of 51617 in words is "fifty-one thousand, six hundred seventeen".