13345000 has 80 divisors (see below), whose sum is σ = 33317460. Its totient is φ = 4992000.

The previous prime is 13344997. The next prime is 13345001. The reversal of 13345000 is 54331.

It can be written as a sum of positive squares in 10 ways, for example, as 770884 + 12574116 = 878^2 + 3546^2 .

It is not an unprimeable number, because it can be changed into a prime (13345001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84922 + ... + 85078.

Almost surely, 2^13345000 is an apocalyptic number.

13345000 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 13345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16658730).

13345000 is an abundant number, since it is smaller than the sum of its proper divisors (19972460).

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

13345000 is a wasteful number, since it uses less digits than its factorization.

13345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 13345000 is about 3653.0808915216. The cubic root of 13345000 is about 237.1953619512.

Adding to 13345000 its reverse (54331), we get a palindrome (13399331).

The spelling of 13345000 in words is "thirteen million, three hundred forty-five thousand".