13685633 has 8 divisors (see below), whose sum is σ = 14891688. Its totient is φ = 12501504.

The previous prime is 13685627. The next prime is 13685641. The reversal of 13685633 is 33658631.

It can be written as a sum of positive squares in 4 ways, for example, as 494209 + 13191424 = 703^2 + 3632^2 .

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 13685633 - 2¹² = 13681537 is a prime.

It is a super-2 number, since 2×13685633² = 374593101221378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13685593 and 13685602.

It is not an unprimeable number, because it can be changed into a prime (13685033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4166 + ... + 6687.

It is an arithmetic number, because the mean of its divisors is an integer number (1861461).

Almost surely, 2^13685633 is an apocalyptic number.

13685633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13685633 is a deficient number, since it is larger than the sum of its proper divisors (1206055).

13685633 is a wasteful number, since it uses less digits than its factorization.

13685633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10963.

The product of its digits is 38880, while the sum is 35.

The square root of 13685633 is about 3699.4098177953. The cubic root of 13685633 is about 239.1965785221.

The spelling of 13685633 in words is "thirteen million, six hundred eighty-five thousand, six hundred thirty-three".