51723 has 12 divisors (see below), whose sum is σ = 85488. Its totient is φ = 29520.

The previous prime is 51721. The next prime is 51749. The reversal of 51723 is 32715.

It is not a de Polignac number, because 51723 - 2¹ = 51721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51696 and 51705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51721) 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, 348 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (7124).

2⁵¹⁷²³ is an apocalyptic number.

51723 is a deficient number, since it is larger than the sum of its proper divisors (33765).

51723 is a wasteful number, since it uses less digits than its factorization.

51723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 831 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 51723 is about 227.4269113364. The cubic root of 51723 is about 37.2587175369.

It can be divided in two parts, 5 and 1723, that added together give a cube (1728 = 12³).

The spelling of 51723 in words is "fifty-one thousand, seven hundred twenty-three".