13825981 has 16 divisors (see below), whose sum is σ = 15999984. Its totient is φ = 11833344.

The previous prime is 13825963. The next prime is 13825993. The reversal of 13825981 is 18952831.

It can be written as a sum of positive squares in 8 ways, for example, as 793881 + 13032100 = 891^2 + 3610^2 .

It is a cyclic number.

It is not a de Polignac number, because 13825981 - 2⁷ = 13825853 is a prime.

It is a super-2 number, since 2×13825981² = 382315501224722, which contains 22 as substring.

Its product of digits (17280) is a multiple of the sum of its prime divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 13825981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13825681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15705 + ... + 16561.

It is an arithmetic number, because the mean of its divisors is an integer number (999999).

Almost surely, 2^13825981 is an apocalyptic number.

It is an amenable number.

13825981 is a deficient number, since it is larger than the sum of its proper divisors (2174003).

13825981 is a wasteful number, since it uses less digits than its factorization.

13825981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960.

The product of its digits is 17280, while the sum is 37.

The square root of 13825981 is about 3718.3304048995. The cubic root of 13825981 is about 240.0114635728.

The spelling of 13825981 in words is "thirteen million, eight hundred twenty-five thousand, nine hundred eighty-one".