13700 has 18 divisors (see below), whose sum is σ = 29946. Its totient is φ = 5440.

The previous prime is 13697. The next prime is 13709. The reversal of 13700 is 731.

It can be written as a sum of positive squares in 3 ways, for example, as 1156 + 12544 = 34^2 + 112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13709) 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, 32 + ... + 168.

2¹³⁷⁰⁰ is an apocalyptic number.

13700 is a gapful number since it is divisible by the number (10) 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 13700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14973).

13700 is an abundant number, since it is smaller than the sum of its proper divisors (16246).

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

13700 is a wasteful number, since it uses less digits than its factorization.

13700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 13700 is about 117.0469991072. The cubic root of 13700 is about 23.9280251071.

Subtracting from 13700 its sum of digits (11), we obtain a square (13689 = 117²).

The spelling of 13700 in words is "thirteen thousand, seven hundred".