51858 has 24 divisors (see below), whose sum is σ = 116688. Its totient is φ = 16632.

The previous prime is 51853. The next prime is 51859. The reversal of 51858 is 85815.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51858.

It is not an unprimeable number, because it can be changed into a prime (51853) 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 11 ways as a sum of consecutive naturals, for example, 741 + ... + 807.

It is an arithmetic number, because the mean of its divisors is an integer number (4862).

2⁵¹⁸⁵⁸ is an apocalyptic number.

51858 is an abundant number, since it is smaller than the sum of its proper divisors (64830).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58344).

51858 is a wasteful number, since it uses less digits than its factorization.

51858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 115 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 51858 is about 227.7235165722. The cubic root of 51858 is about 37.2911051728.

It can be divided in two parts, 518 and 58, that added together give a square (576 = 24²).

The spelling of 51858 in words is "fifty-one thousand, eight hundred fifty-eight".