2013948 has 36 divisors (see below), whose sum is σ = 5213208. Its totient is φ = 655200.

The previous prime is 2013941. The next prime is 2013967. The reversal of 2013948 is 8493102.

2013948 is digitally balanced in base 5, 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898 + ... + 2198.

2^2013948 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 2013948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606604).

2013948 is an abundant number, since it is smaller than the sum of its proper divisors (3199260).

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

2013948 is a wasteful number, since it uses less digits than its factorization.

2013948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2013948 is about 1419.1363570848. The cubic root of 2013948 is about 126.2843163912.

The spelling of 2013948 in words is "two million, thirteen thousand, nine hundred forty-eight".