81253 has 4 divisors (see below), whose sum is σ = 81868. Its totient is φ = 80640.

The previous prime is 81239. The next prime is 81281. The reversal of 81253 is 35218.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 35218 = 2 ⋅17609.

It can be written as a sum of positive squares in 2 ways, for example, as 6724 + 74529 = 82^2 + 273^2 .

It is a cyclic number.

It is not a de Polignac number, because 81253 - 2¹³ = 73061 is a prime.

It is a d-powerful number, because it can be written as 8² + 1 + 2¹⁶ + 5⁶ + 3³ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 81253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81203) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18 + ... + 403.

It is an arithmetic number, because the mean of its divisors is an integer number (20467).

2⁸¹²⁵³ is an apocalyptic number.

It is an amenable number.

81253 is a deficient number, since it is larger than the sum of its proper divisors (615).

81253 is a wasteful number, since it uses less digits than its factorization.

81253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614.

The product of its digits is 240, while the sum is 19.

The square root of 81253 is about 285.0491185743. The cubic root of 81253 is about 43.3124883307.

It can be divided in two parts, 8125 and 3, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 81253 in words is "eighty-one thousand, two hundred fifty-three".