51701 has 8 divisors (see below), whose sum is σ = 57624. Its totient is φ = 46080.

The previous prime is 51691. The next prime is 51713. The reversal of 51701 is 10715.

It can be written as a sum of positive squares in 4 ways, for example, as 625 + 51076 = 25^2 + 226^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 51701 - 2⁶ = 51637 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 51701.

It is not an unprimeable number, because it can be changed into a prime (51721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (7203).

2⁵¹⁷⁰¹ is an apocalyptic number.

It is an amenable number.

51701 is a deficient number, since it is larger than the sum of its proper divisors (5923).

51701 is a wasteful number, since it uses less digits than its factorization.

51701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 51701 is about 227.3785390049. The cubic root of 51701 is about 37.2534342134.

Adding to 51701 its sum of digits (14), we get a palindrome (51715).

The spelling of 51701 in words is "fifty-one thousand, seven hundred one".