33114101 has 8 divisors (see below), whose sum is σ = 34000344. Its totient is φ = 32231680.

The previous prime is 33114083. The next prime is 33114119. The reversal of 33114101 is 10141133.

It is an interprime number because it is at equal distance from previous prime (33114083) and next prime (33114119).

It can be written as a sum of positive squares in 4 ways, for example, as 6838225 + 26275876 = 2615^2 + 5126^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33114101 - 2¹⁴ = 33097717 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 (33114401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27161 + ... + 28353.

It is an arithmetic number, because the mean of its divisors is an integer number (4250043).

Almost surely, 2^33114101 is an apocalyptic number.

It is an amenable number.

33114101 is a deficient number, since it is larger than the sum of its proper divisors (886243).

33114101 is a wasteful number, since it uses less digits than its factorization.

33114101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 33114101 is about 5754.4852940989. The cubic root of 33114101 is about 321.1226874185.

Adding to 33114101 its reverse (10141133), we get a palindrome (43255234).

The spelling of 33114101 in words is "thirty-three million, one hundred fourteen thousand, one hundred one".