13279000 has 96 divisors (see below), whose sum is σ = 36279360. Its totient is φ = 4536000.

The previous prime is 13278997. The next prime is 13279001. The reversal of 13279000 is 97231.

13279000 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13279000 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13279001) 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, 48865 + ... + 49135.

It is an arithmetic number, because the mean of its divisors is an integer number (377910).

Almost surely, 2^13279000 is an apocalyptic number.

13279000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13279000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139680).

13279000 is an abundant number, since it is smaller than the sum of its proper divisors (23000360).

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

13279000 is a wasteful number, since it uses less digits than its factorization.

13279000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 13279000 is about 3644.0362237497. The cubic root of 13279000 is about 236.8036853426.

The spelling of 13279000 in words is "thirteen million, two hundred seventy-nine thousand".