51849 has 12 divisors (see below), whose sum is σ = 85696. Its totient is φ = 29592.

The previous prime is 51839. The next prime is 51853. The reversal of 51849 is 94815.

It is not a de Polignac number, because 51849 - 2⁵ = 51817 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51829) 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, 349 + ... + 474.

2⁵¹⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

51849 is a deficient number, since it is larger than the sum of its proper divisors (33847).

51849 is a wasteful number, since it uses less digits than its factorization.

51849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 833 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 51849 is about 227.7037549098. The cubic root of 51849 is about 37.2889477469.

It can be divided in two parts, 5184 and 9, that multiplied together give a 6-th power (46656 = 6⁶).

The spelling of 51849 in words is "fifty-one thousand, eight hundred forty-nine".