81753 has 16 divisors (see below), whose sum is σ = 132480. Its totient is φ = 43776.

The previous prime is 81749. The next prime is 81761. The reversal of 81753 is 35718.

It is not a de Polignac number, because 81753 - 2² = 81749 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (8280).

2⁸¹⁷⁵³ is an apocalyptic number.

It is an amenable number.

81753 is a deficient number, since it is larger than the sum of its proper divisors (50727).

81753 is a wasteful number, since it uses less digits than its factorization.

81753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its digits is 840, while the sum is 24.

The square root of 81753 is about 285.9248152924. The cubic root of 81753 is about 43.4011495657.

The spelling of 81753 in words is "eighty-one thousand, seven hundred fifty-three".