13285000 has 40 divisors (see below), whose sum is σ = 31138470. Its totient is φ = 5312000.

The previous prime is 13284983. The next prime is 13285021. The reversal of 13285000 is 58231.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 454276 + 12830724 = 674^2 + 3582^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 3672 + ... + 6328.

Almost surely, 2^13285000 is an apocalyptic number.

13285000 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 13285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15569235).

13285000 is an abundant number, since it is smaller than the sum of its proper divisors (17853470).

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

13285000 is an equidigital number, since it uses as much as digits as its factorization.

13285000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 13285000 is about 3644.8593937215. The cubic root of 13285000 is about 236.8393458635.

It can be divided in two parts, 1328 and 5000, that added together give a triangular number (6328 = T₁₁₂).

The spelling of 13285000 in words is "thirteen million, two hundred eighty-five thousand".