51954 has 16 divisors (see below), whose sum is σ = 118848. Its totient is φ = 14832.

The previous prime is 51949. The next prime is 51971. The reversal of 51954 is 45915.

It is an Ulam number.

It is an unprimeable number.

51954 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 7 ways as a sum of consecutive naturals, for example, 577 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (7428).

2⁵¹⁹⁵⁴ is an apocalyptic number.

51954 is an abundant number, since it is smaller than the sum of its proper divisors (66894).

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 (59424).

51954 is a wasteful number, since it uses less digits than its factorization.

51954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249.

The product of its digits is 900, while the sum is 24.

The square root of 51954 is about 227.9342010318. The cubic root of 51954 is about 37.3141021985.

The spelling of 51954 in words is "fifty-one thousand, nine hundred fifty-four".