201924 has 36 divisors (see below), whose sum is σ = 524160. Its totient is φ = 65520.

The previous prime is 201923. The next prime is 201937. The reversal of 201924 is 429102.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201897 and 201906.

It is not an unprimeable number, because it can be changed into a prime (201923) by changing a digit.

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, 2517 + ... + 2595.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

2²⁰¹⁹²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

201924 is an abundant number, since it is smaller than the sum of its proper divisors (322236).

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

201924 is a wasteful number, since it uses less digits than its factorization.

201924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 201924 is about 449.3595442405. The cubic root of 201924 is about 58.6672836253.

The spelling of 201924 in words is "two hundred one thousand, nine hundred twenty-four".