2980033 has 12 divisors (see below), whose sum is σ = 3526932. Its totient is φ = 2509920.

The previous prime is 2980027. The next prime is 2980037. The reversal of 2980033 is 3300892.

It is a happy number.

2980033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 1787569 = 1092^2 + 1337^2 .

It is not a de Polignac number, because 2980033 - 2⁵ = 2980001 is a prime.

It is a Duffinian number.

2980033 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2980037) 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 in 11 ways as a sum of consecutive naturals, for example, 2491 + ... + 3487.

It is an arithmetic number, because the mean of its divisors is an integer number (293911).

2^2980033 is an apocalyptic number.

2980033 is the 997-th octagonal number.

It is an amenable number.

2980033 is a deficient number, since it is larger than the sum of its proper divisors (546899).

2980033 is an equidigital number, since it uses as much as digits as its factorization.

2980033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 2980033 is about 1726.2772083301. The cubic root of 2980033 is about 143.9042734409.

The spelling of 2980033 in words is "two million, nine hundred eighty thousand, thirty-three".