13057821 has 32 divisors (see below), whose sum is σ = 22502400. Its totient is φ = 7328880.

The previous prime is 13057777. The next prime is 13057829. The reversal of 13057821 is 12875031.

It is not a de Polignac number, because 13057821 - 2¹¹ = 13055773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13057829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10566 + ... + 11736.

It is an arithmetic number, because the mean of its divisors is an integer number (703200).

Almost surely, 2^13057821 is an apocalyptic number.

It is an amenable number.

13057821 is a deficient number, since it is larger than the sum of its proper divisors (9444579).

13057821 is a wasteful number, since it uses less digits than its factorization.

13057821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13057821 is about 3613.5607093281. The cubic root of 13057821 is about 235.4815596742.

The spelling of 13057821 in words is "thirteen million, fifty-seven thousand, eight hundred twenty-one".