100033 has 4 divisors (see below), whose sum is σ = 100800. Its totient is φ = 99268.

The previous prime is 100019. The next prime is 100043. The reversal of 100033 is 330001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 330001 = 7 ⋅47143.

It is a cyclic number.

It is not a de Polignac number, because 100033 - 2¹³ = 91841 is a prime.

It is a Duffinian number.

100033 is a modest number, since divided by 33 gives 10 as remainder.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 99989 and 100025.

It is not an unprimeable number, because it can be changed into a prime (100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133 + ... + 466.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2¹⁰⁰⁰³³ is an apocalyptic number.

It is an amenable number.

100033 is a deficient number, since it is larger than the sum of its proper divisors (767).

100033 is an equidigital number, since it uses as much as digits as its factorization.

100033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766.

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 100033 is about 316.2799392943. The cubic root of 100033 is about 46.4209935223.

Adding to 100033 its reverse (330001), we get a palindrome (430034).

The spelling of 100033 in words is "one hundred thousand, thirty-three".