33232013 has 2 divisors, whose sum is σ = 33232014. Its totient is φ = 33232012.

The previous prime is 33231997. The next prime is 33232019. The reversal of 33232013 is 31023233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30614089 + 2617924 = 5533^2 + 1618^2 .

It is an emirp because it is prime and its reverse (31023233) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33232013 - 2⁴ = 33231997 is a prime.

It is a super-2 number, since 2×33232013² = 2208733376064338, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 33231982 and 33232000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33232019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16616006 + 16616007.

It is an arithmetic number, because the mean of its divisors is an integer number (16616007).

Almost surely, 2^33232013 is an apocalyptic number.

It is an amenable number.

33232013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33232013 is an equidigital number, since it uses as much as digits as its factorization.

33232013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 33232013 is about 5764.7214156453. The cubic root of 33232013 is about 321.5033849042.

Adding to 33232013 its reverse (31023233), we get a palindrome (64255246).

The spelling of 33232013 in words is "thirty-three million, two hundred thirty-two thousand, thirteen".