13692 has 24 divisors (see below), whose sum is σ = 36736. Its totient is φ = 3888.

The previous prime is 13691. The next prime is 13693. The reversal of 13692 is 29631.

It is an interprime number because it is at equal distance from previous prime (13691) and next prime (13693).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13692.

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 7 ways as a sum of consecutive naturals, for example, 3 + ... + 165.

2¹³⁶⁹² is an apocalyptic number.

13692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18368).

13692 is an abundant number, since it is smaller than the sum of its proper divisors (23044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13692 is a wasteful number, since it uses less digits than its factorization.

13692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 13692 is about 117.0128198105. The cubic root of 13692 is about 23.9233666771.

The spelling of 13692 in words is "thirteen thousand, six hundred ninety-two".