13282893 has 48 divisors (see below), whose sum is σ = 22135680. Its totient is φ = 7862400.

The previous prime is 13282879. The next prime is 13282897. The reversal of 13282893 is 39828231.

13282893 = 202² + 203² + ... + 363².

It is a happy number.

It is not a de Polignac number, because 13282893 - 2⁴ = 13282877 is a prime.

Its product of digits (20736) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13282897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187048 + ... + 187118.

It is an arithmetic number, because the mean of its divisors is an integer number (461160).

Almost surely, 2^13282893 is an apocalyptic number.

13282893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13282893 is a deficient number, since it is larger than the sum of its proper divisors (8852787).

13282893 is a wasteful number, since it uses less digits than its factorization.

13282893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13282893 is about 3644.5703450475. The cubic root of 13282893 is about 236.8268243006.

The spelling of 13282893 in words is "thirteen million, two hundred eighty-two thousand, eight hundred ninety-three".