13029858 has 48 divisors (see below), whose sum is σ = 30700800. Its totient is φ = 3978720.

The previous prime is 13029853. The next prime is 13029859. The reversal of 13029858 is 85892031.

13029858 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13029851) 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, 9988 + ... + 11216.

It is an arithmetic number, because the mean of its divisors is an integer number (639600).

Almost surely, 2^13029858 is an apocalyptic number.

13029858 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 13029858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350400).

13029858 is an abundant number, since it is smaller than the sum of its proper divisors (17670942).

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

13029858 is a wasteful number, since it uses less digits than its factorization.

13029858 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 13029858 is about 3609.6894603276. The cubic root of 13029858 is about 235.3133469015.

The spelling of 13029858 in words is "thirteen million, twenty-nine thousand, eight hundred fifty-eight".