13172016 has 160 divisors (see below), whose sum is σ = 42497280. Its totient is φ = 3456000.

The previous prime is 13171987. The next prime is 13172023. The reversal of 13172016 is 61027131.

13172016 = T₇₈ + T₇₉ + ... + T₄₂₉.

13172016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13171983 and 13172001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130366 + ... + 130466.

It is an arithmetic number, because the mean of its divisors is an integer number (265608).

Almost surely, 2^13172016 is an apocalyptic number.

13172016 is a gapful number since it is divisible by the number (16) 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 13172016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

13172016 is an abundant number, since it is smaller than the sum of its proper divisors (29325264).

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

13172016 is a wasteful number, since it uses less digits than its factorization.

13172016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 13172016 is about 3629.3272103794. The cubic root of 13172016 is about 236.1660231754.

Adding to 13172016 its reverse (61027131), we get a palindrome (74199147).

It can be divided in two parts, 1317 and 2016, that added together give a palindrome (3333).

The spelling of 13172016 in words is "thirteen million, one hundred seventy-two thousand, sixteen".