51354 has 20 divisors (see below), whose sum is σ = 115434. Its totient is φ = 17064.

The previous prime is 51349. The next prime is 51361. The reversal of 51354 is 45315.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 729 = 225^2 + 27^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 4 + ... + 320.

2⁵¹³⁵⁴ is an apocalyptic number.

51354 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57717).

51354 is an abundant number, since it is smaller than the sum of its proper divisors (64080).

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

51354 is a wasteful number, since it uses less digits than its factorization.

51354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 51354 is about 226.6142096163. The cubic root of 51354 is about 37.1699028152.

Adding to 51354 its reverse (45315), we get a palindrome (96669).

The spelling of 51354 in words is "fifty-one thousand, three hundred fifty-four".