13696033 has 16 divisors (see below), whose sum is σ = 16163280. Its totient is φ = 11483136.

The previous prime is 13696021. The next prime is 13696043. The reversal of 13696033 is 33069631.

It can be written as a sum of positive squares in 8 ways, for example, as 1361889 + 12334144 = 1167^2 + 3512^2 .

It is a 3-Lehmer number, since φ(13696033) divides (13696033-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 13696033 - 2¹⁷ = 13564961 is a prime.

It is a deceptive number, since it divides R_13696032.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13695986 and 13696004.

It is not an unprimeable number, because it can be changed into a prime (13696043) 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 15 ways as a sum of consecutive naturals, for example, 5341 + ... + 7477.

It is an arithmetic number, because the mean of its divisors is an integer number (1010205).

It is a Poulet number, since it divides 2^13696032-1.

Almost surely, 2^13696033 is an apocalyptic number.

13696033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13696033 is the 2137-th octagonal number.

It is an amenable number.

13696033 is a deficient number, since it is larger than the sum of its proper divisors (2467247).

13696033 is a wasteful number, since it uses less digits than its factorization.

13696033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196.

The product of its (nonzero) digits is 8748, while the sum is 31.

The square root of 13696033 is about 3700.8151804704. The cubic root of 13696033 is about 239.2571533489.

It can be divided in two parts, 136 and 96033, that added together give a palindrome (96169).

The spelling of 13696033 in words is "thirteen million, six hundred ninety-six thousand, thirty-three".