2825033 has 2 divisors, whose sum is σ = 2825034. Its totient is φ = 2825032.

The previous prime is 2825003. The next prime is 2825047. The reversal of 2825033 is 3305282.

2825033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2229049 + 595984 = 1493^2 + 772^2 .

It is a cyclic number.

It is not a de Polignac number, because 2825033 - 2²⁰ = 1776457 is a prime.

It is a super-2 number, since 2×2825033² = 15961622902178, which contains 22 as substring.

It is equal to p₂₀₅₀₉₇ and since 2825033 and 205097 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (2825003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1412516 + 1412517.

It is an arithmetic number, because the mean of its divisors is an integer number (1412517).

2^2825033 is an apocalyptic number.

It is an amenable number.

2825033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2825033 is an equidigital number, since it uses as much as digits as its factorization.

2825033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2825033 is about 1680.7834482764. The cubic root of 2825033 is about 141.3647648489.

Subtracting 2825033 from its reverse (3305282), we obtain a square (480249 = 693²).

The spelling of 2825033 in words is "two million, eight hundred twenty-five thousand, thirty-three".