81354 has 32 divisors (see below), whose sum is σ = 201600. Its totient is φ = 21312.

The previous prime is 81353. The next prime is 81359. The reversal of 81354 is 45318.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 81354.

It is not an unprimeable number, because it can be changed into a prime (81353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁸¹³⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

81354 is an abundant number, since it is smaller than the sum of its proper divisors (120246).

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

81354 is a wasteful number, since it uses less digits than its factorization.

81354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174.

The product of its digits is 480, while the sum is 21.

The square root of 81354 is about 285.2262260031. The cubic root of 81354 is about 43.3304271555.

It can be divided in two parts, 81 and 354, that added together give a triangular number (435 = T₂₉).

The spelling of 81354 in words is "eighty-one thousand, three hundred fifty-four".