51774 has 8 divisors (see below), whose sum is σ = 103560. Its totient is φ = 17256.

The previous prime is 51769. The next prime is 51787. The reversal of 51774 is 47715.

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

51774 is an admirable number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4309 + ... + 4320.

It is an arithmetic number, because the mean of its divisors is an integer number (12945).

2⁵¹⁷⁷⁴ is an apocalyptic number.

51774 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (51780).

51774 is a wasteful number, since it uses less digits than its factorization.

51774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634.

The product of its digits is 980, while the sum is 24.

The square root of 51774 is about 227.5390076448. The cubic root of 51774 is about 37.2709594821.

The spelling of 51774 in words is "fifty-one thousand, seven hundred seventy-four".