33661013 has 4 divisors (see below), whose sum is σ = 33672780. Its totient is φ = 33649248.

The previous prime is 33660997. The next prime is 33661051. The reversal of 33661013 is 31016633.

33661013 = 4102² + 4103².

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 16826404 + 16834609 = 4102^2 + 4103^2 .

It is a cyclic number.

It is not a de Polignac number, because 33661013 - 2⁴ = 33660997 is a prime.

It is a super-2 number, since 2×33661013² = 2266127592372338, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33661013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33661063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1481 + ... + 8337.

It is an arithmetic number, because the mean of its divisors is an integer number (8418195).

Almost surely, 2^33661013 is an apocalyptic number.

33661013 is the 4103-rd centered square number.

It is an amenable number.

33661013 is a deficient number, since it is larger than the sum of its proper divisors (11767).

33661013 is an equidigital number, since it uses as much as digits as its factorization.

33661013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11766.

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 33661013 is about 5801.8111827256. The cubic root of 33661013 is about 322.8809288030.

Adding to 33661013 its reverse (31016633), we get a palindrome (64677646).

The spelling of 33661013 in words is "thirty-three million, six hundred sixty-one thousand, thirteen".