13961000 has 64 divisors (see below), whose sum is σ = 34145280. Its totient is φ = 5332800.

The previous prime is 13960987. The next prime is 13961071. The reversal of 13961000 is 16931.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22697 + ... + 23303.

It is an arithmetic number, because the mean of its divisors is an integer number (533520).

Almost surely, 2^13961000 is an apocalyptic number.

13961000 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 13961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072640).

13961000 is an abundant number, since it is smaller than the sum of its proper divisors (20184280).

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

13961000 is a wasteful number, since it uses less digits than its factorization.

13961000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 13961000 is about 3736.4421579893. The cubic root of 13961000 is about 240.7902193575.

Adding to 13961000 its reverse (16931), we get a palindrome (13977931).

The spelling of 13961000 in words is "thirteen million, nine hundred sixty-one thousand".