13172000 has 96 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 5068800.

The previous prime is 13171987. The next prime is 13172023. The reversal of 13172000 is 27131.

It can be written as a sum of positive squares in 8 ways, for example, as 753424 + 12418576 = 868^2 + 3524^2 .

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 15 ways as a sum of consecutive naturals, for example, 147956 + ... + 148044.

Almost surely, 2^13172000 is an apocalyptic number.

13172000 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 13172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).

13172000 is an abundant number, since it is smaller than the sum of its proper divisors (20439760).

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

13172000 is an equidigital number, since it uses as much as digits as its factorization.

13172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 13172000 is about 3629.3250061134. The cubic root of 13172000 is about 236.1659275520.

Adding to 13172000 its reverse (27131), we get a palindrome (13199131).

The spelling of 13172000 in words is "thirteen million, one hundred seventy-two thousand".