82433 has 8 divisors (see below), whose sum is σ = 94248. Its totient is φ = 71424.

The previous prime is 82421. The next prime is 82457. The reversal of 82433 is 33428.

It can be written as a sum of positive squares in 4 ways, for example, as 10609 + 71824 = 103^2 + 268^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82433 - 2¹⁰ = 81409 is a prime.

It is a super-4 number, since 4×82433⁴ (a number of 21 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (82463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (11781).

It is a Proth number, since it is equal to 161 ⋅ 2⁹ + 1 and 161 < 2⁹.

2⁸²⁴³³ is an apocalyptic number.

It is an amenable number.

82433 is a deficient number, since it is larger than the sum of its proper divisors (11815).

82433 is a wasteful number, since it uses less digits than its factorization.

82433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403.

The product of its digits is 576, while the sum is 20.

The square root of 82433 is about 287.1114766080. Note that the first 3 decimals coincide. The cubic root of 82433 is about 43.5211505900.

It can be divided in two parts, 82 and 433, that added together give a palindrome (515).

The spelling of 82433 in words is "eighty-two thousand, four hundred thirty-three".