23700 has 36 divisors (see below), whose sum is σ = 69440. Its totient is φ = 6240.

The previous prime is 23689. The next prime is 23719. The reversal of 23700 is 732.

23700 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

23700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261 + ... + 339.

2²³⁷⁰⁰ is an apocalyptic number.

23700 is a gapful number since it is divisible by the number (20) 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 23700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34720).

23700 is an abundant number, since it is smaller than the sum of its proper divisors (45740).

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

23700 is a wasteful number, since it uses less digits than its factorization.

23700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 23700 is about 153.9480431834. The cubic root of 23700 is about 28.7242996540.

The spelling of 23700 in words is "twenty-three thousand, seven hundred", and thus it is an iban number.