13388958 has 48 divisors (see below), whose sum is σ = 33321600. Its totient is φ = 3842640.

The previous prime is 13388941. The next prime is 13388959. The reversal of 13388958 is 85988331.

13388958 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13388959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1983 + ... + 5541.

It is an arithmetic number, because the mean of its divisors is an integer number (694200).

Almost surely, 2^13388958 is an apocalyptic number.

13388958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13388958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16660800).

13388958 is an abundant number, since it is smaller than the sum of its proper divisors (19932642).

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

13388958 is a wasteful number, since it uses less digits than its factorization.

13388958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3594 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 13388958 is about 3659.0925104457. The cubic root of 13388958 is about 237.4555144751.

It can be divided in two parts, 1338 and 8958, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 13388958 in words is "thirteen million, three hundred eighty-eight thousand, nine hundred fifty-eight".