13690 has 12 divisors (see below), whose sum is σ = 25326. Its totient is φ = 5328.

The previous prime is 13687. The next prime is 13691. The reversal of 13690 is 9631.

It is a Cunningham number, because it is equal to 117²+1.

It can be written as a sum of positive squares in 3 ways, for example, as 13689 + 1 = 117^2 + 1^2 .

It is a super-2 number, since 2×13690² = 374832200, which contains 22 as substring.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13691) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 352 + ... + 388.

2¹³⁶⁹⁰ is an apocalyptic number.

13690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13690 is a deficient number, since it is larger than the sum of its proper divisors (11636).

13690 is an equidigital number, since it uses as much as digits as its factorization.

13690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 13690 is about 117.0042734262. The cubic root of 13690 is about 23.9222017861.

It can be divided in two parts, 13 and 690, that added together give a triangular number (703 = T₃₇).

The spelling of 13690 in words is "thirteen thousand, six hundred ninety".