100000033 has 12 divisors (see below), whose sum is σ = 120339540. Its totient is φ = 82757472.

The previous prime is 100000007. The next prime is 100000037. The reversal of 100000033 is 330000001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17698849 + 82301184 = 4207^2 + 9072^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100000033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

100000033 is a modest number, since divided by 33 gives 1 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 99999971 and 100000025.

It is not an unprimeable number, because it can be changed into a prime (100000037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33766 + ... + 36607.

It is an arithmetic number, because the mean of its divisors is an integer number (10028295).

Almost surely, 2^100000033 is an apocalyptic number.

It is an amenable number.

100000033 is a deficient number, since it is larger than the sum of its proper divisors (20339507).

100000033 is an equidigital number, since it uses as much as digits as its factorization.

100000033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70416 (or 70409 counting only the distinct ones).

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

The square root of 100000033 is about 10000.0016499999. The cubic root of 100000033 is about 464.1589344187.

Adding to 100000033 its reverse (330000001), we get a palindrome (430000034).

The spelling of 100000033 in words is "one hundred million, thirty-three", and thus it is an aban number.