11700 has 54 divisors (see below), whose sum is σ = 39494. Its totient is φ = 2880.

The previous prime is 11699. The next prime is 11701. The reversal of 11700 is 711.

It is an interprime number because it is at equal distance from previous prime (11699) and next prime (11701).

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 11664 = 6^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 5, base 11 and base 13.

It is a zygodrome in base 5 and base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11701) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 894 + ... + 906.

2¹¹⁷⁰⁰ is an apocalyptic number.

11700 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 11700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19747).

11700 is an abundant number, since it is smaller than the sum of its proper divisors (27794).

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

11700 is a wasteful number, since it uses less digits than its factorization.

11700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 11700 is about 108.1665382639. The cubic root of 11700 is about 22.7018868065.

The spelling of 11700 in words is "eleven thousand, seven hundred", and thus it is an iban number.