11948013 has 48 divisors (see below), whose sum is σ = 22489920. Its totient is φ = 6199200.

The previous prime is 11947993. The next prime is 11948021. The reversal of 11948013 is 31084911.

It is not a de Polignac number, because 11948013 - 2⁵ = 11947981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11948413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14143 + ... + 14963.

It is an arithmetic number, because the mean of its divisors is an integer number (468540).

Almost surely, 2^11948013 is an apocalyptic number.

It is an amenable number.

11948013 is a deficient number, since it is larger than the sum of its proper divisors (10541907).

11948013 is a wasteful number, since it uses less digits than its factorization.

11948013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11948013 is about 3456.5897934236. The cubic root of 11948013 is about 228.6117573744.

The spelling of 11948013 in words is "eleven million, nine hundred forty-eight thousand, thirteen".