13631000 has 64 divisors (see below), whose sum is σ = 32741280. Its totient is φ = 5308800.

The previous prime is 13630997. The next prime is 13631003. The reversal of 13631000 is 13631.

It is an interprime number because it is at equal distance from previous prime (13630997) and next prime (13631003).

It is a super-2 number, since 2×13631000² = 371608322000000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13631003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42842 + ... + 43158.

Almost surely, 2^13631000 is an apocalyptic number.

13631000 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 13631000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16370640).

13631000 is an abundant number, since it is smaller than the sum of its proper divisors (19110280).

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

13631000 is a wasteful number, since it uses less digits than its factorization.

13631000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 13631000 is about 3692.0184181556. The cubic root of 13631000 is about 238.8778634016.

Adding to 13631000 its reverse (13631), we get a palindrome (13644631).

13631000 divided by its reverse (13631) gives a cube (1000 = 10³).

The spelling of 13631000 in words is "thirteen million, six hundred thirty-one thousand".