33982013 has 18 divisors (see below), whose sum is σ = 38905434. Its totient is φ = 29663712.

The previous prime is 33982007. The next prime is 33982019. The reversal of 33982013 is 31028933.

It is an interprime number because it is at equal distance from previous prime (33982007) and next prime (33982019).

It can be written as a sum of positive squares in 3 ways, for example, as 1923769 + 32058244 = 1387^2 + 5662^2 .

It is not a de Polignac number, because 33982013 - 2⁸ = 33981757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33982019) 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 17 ways as a sum of consecutive naturals, for example, 60731 + ... + 61287.

It is an arithmetic number, because the mean of its divisors is an integer number (2161413).

Almost surely, 2^33982013 is an apocalyptic number.

It is an amenable number.

33982013 is a deficient number, since it is larger than the sum of its proper divisors (4923421).

33982013 is a wasteful number, since it uses less digits than its factorization.

33982013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 33982013 is about 5829.4093182757. The cubic root of 33982013 is about 323.9040417197.

The spelling of 33982013 in words is "thirty-three million, nine hundred eighty-two thousand, thirteen".