2100033 has 32 divisors (see below), whose sum is σ = 3476480. Its totient is φ = 1244160.

The previous prime is 2100031. The next prime is 2100041. The reversal of 2100033 is 3300012.

It is a happy number.

It is not a de Polignac number, because 2100033 - 2¹ = 2100031 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

2100033 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2099988 and 2100024.

It is not an unprimeable number, because it can be changed into a prime (2100031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10785 + ... + 10977.

It is an arithmetic number, because the mean of its divisors is an integer number (108640).

2^2100033 is an apocalyptic number.

2100033 is the 837-th octagonal number.

It is an amenable number.

2100033 is a deficient number, since it is larger than the sum of its proper divisors (1376447).

2100033 is a wasteful number, since it uses less digits than its factorization.

2100033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2100033 is about 1449.1490606559. The cubic root of 2100033 is about 128.0585872748.

Adding to 2100033 its reverse (3300012), we get a palindrome (5400045).

The spelling of 2100033 in words is "two million, one hundred thousand, thirty-three".