13981000 has 128 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 4800000.

The previous prime is 13980991. The next prime is 13981013. The reversal of 13981000 is 18931.

It is a super-2 number, since 2×13981000² = 390936722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 31 ways as a sum of consecutive naturals, for example, 340980 + ... + 341020.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^13981000 is an apocalyptic number.

13981000 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 13981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

13981000 is an abundant number, since it is smaller than the sum of its proper divisors (23758520).

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

13981000 is a wasteful number, since it uses less digits than its factorization.

13981000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 13981000 is about 3739.1175429505. The cubic root of 13981000 is about 240.9051468118.

Adding to 13981000 its reverse (18931), we get a palindrome (13999931).

The spelling of 13981000 in words is "thirteen million, nine hundred eighty-one thousand".