51654 has 8 divisors (see below), whose sum is σ = 103320. Its totient is φ = 17216.

The previous prime is 51647. The next prime is 51659. The reversal of 51654 is 45615.

It is a happy number.

51654 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

51654 is an admirable number.

It is a plaindrome in base 11.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 51654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51659) by changing a digit.

51654 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4299 + ... + 4310.

It is an arithmetic number, because the mean of its divisors is an integer number (12915).

2⁵¹⁶⁵⁴ is an apocalyptic number.

51654 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 (51660).

51654 is a wasteful number, since it uses less digits than its factorization.

51654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8614.

The product of its digits is 600, while the sum is 21.

The square root of 51654 is about 227.2751636233. The cubic root of 51654 is about 37.2421420898.

The spelling of 51654 in words is "fifty-one thousand, six hundred fifty-four".