88533 has 10 divisors (see below), whose sum is σ = 132374. Its totient is φ = 58968.

The previous prime is 88523. The next prime is 88547. The reversal of 88533 is 33588.

It can be written as a sum of positive squares in only one way, i.e., 88209 + 324 = 297^2 + 18^2 .

It is not a de Polignac number, because 88533 - 2⁶ = 88469 is a prime.

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

It is a Duffinian number.

It is a nialpdrome in base 3 and base 10.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 88497 and 88506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88513) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 466 + ... + 627.

2⁸⁸⁵³³ is an apocalyptic number.

It is an amenable number.

88533 is a deficient number, since it is larger than the sum of its proper divisors (43841).

88533 is a wasteful number, since it uses less digits than its factorization.

88533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1096 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 88533 is about 297.5449545867. The cubic root of 88533 is about 44.5692227353.

Multiplying 88533 by its sum of digits (27), we get a triangular number (2390391 = T₂₁₈₆).

Subtracting from 88533 its reverse (33588), we obtain a palindrome (54945).

The spelling of 88533 in words is "eighty-eight thousand, five hundred thirty-three".