51417 has 12 divisors (see below), whose sum is σ = 77220. Its totient is φ = 32928.

The previous prime is 51413. The next prime is 51419. The reversal of 51417 is 71415.

51417 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 9801 = 204^2 + 99^2 .

It is not a de Polignac number, because 51417 - 2² = 51413 is a prime.

51417 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 51417.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51417.

It is not an unprimeable number, because it can be changed into a prime (51413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (6435).

2⁵¹⁴¹⁷ is an apocalyptic number.

It is an amenable number.

51417 is a deficient number, since it is larger than the sum of its proper divisors (25803).

51417 is a wasteful number, since it uses less digits than its factorization.

51417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 229 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 51417 is about 226.7531697684. The cubic root of 51417 is about 37.1850963538.

The spelling of 51417 in words is "fifty-one thousand, four hundred seventeen".