51997 has 8 divisors (see below), whose sum is σ = 59040. Its totient is φ = 45360.

The previous prime is 51991. The next prime is 52009. The reversal of 51997 is 79915.

51997 is nontrivially palindromic in base 14.

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 51997 - 2⁷ = 51869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51991) 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, 238 + ... + 400.

It is an arithmetic number, because the mean of its divisors is an integer number (7380).

2⁵¹⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

51997 is a deficient number, since it is larger than the sum of its proper divisors (7043).

51997 is a wasteful number, since it uses less digits than its factorization.

51997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203.

The product of its digits is 2835, while the sum is 31.

The square root of 51997 is about 228.0285069898. The cubic root of 51997 is about 37.3243937638.

It can be divided in two parts, 519 and 97, that added together give a palindrome (616).

The spelling of 51997 in words is "fifty-one thousand, nine hundred ninety-seven".