81954 has 24 divisors (see below), whose sum is σ = 184860. Its totient is φ = 26208.

The previous prime is 81953. The next prime is 81967. The reversal of 81954 is 45918.

81954 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 81225 + 729 = 285^2 + 27^2 .

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (81953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444 + ... + 600.

2⁸¹⁹⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92430).

81954 is an abundant number, since it is smaller than the sum of its proper divisors (102906).

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

81954 is a wasteful number, since it uses less digits than its factorization.

81954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 191 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 81954 is about 286.2760905140. The cubic root of 81954 is about 43.4366895110.

It can be divided in two parts, 81 and 954, that added together give a triangular number (1035 = T₄₅).

The spelling of 81954 in words is "eighty-one thousand, nine hundred fifty-four".