81675 has 36 divisors (see below), whose sum is σ = 164920. Its totient is φ = 39600.

The previous prime is 81671. The next prime is 81677. The reversal of 81675 is 57618.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 81675 - 2² = 81671 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (81671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7420 + ... + 7430.

2⁸¹⁶⁷⁵ is an apocalyptic number.

81675 is an abundant number, since it is smaller than the sum of its proper divisors (83245).

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 (82460).

81675 is a wasteful number, since it uses less digits than its factorization.

81675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 19 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 81675 is about 285.7883832489. The cubic root of 81675 is about 43.3873422564.

Multiplying 81675 by its sum of digits (27), we get a square (2205225 = 1485²).

81675 divided by its sum of digits (27) gives a square (3025 = 55²).

The spelling of 81675 in words is "eighty-one thousand, six hundred seventy-five".