201948 has 12 divisors (see below), whose sum is σ = 471240. Its totient is φ = 67312.

The previous prime is 201947. The next prime is 201953. The reversal of 201948 is 849102.

201948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

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 201948.

It is not an unprimeable number, because it can be changed into a prime (201947) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8403 + ... + 8426.

It is an arithmetic number, because the mean of its divisors is an integer number (39270).

2²⁰¹⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

201948 is an abundant number, since it is smaller than the sum of its proper divisors (269292).

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

201948 is a wasteful number, since it uses less digits than its factorization.

201948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16836 (or 16834 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 201948 is about 449.3862481207. The cubic root of 201948 is about 58.6696078645.

It can be divided in two parts, 20194 and 8, that added together give a palindrome (20202).

The spelling of 201948 in words is "two hundred one thousand, nine hundred forty-eight".