13084170 has 64 divisors (see below), whose sum is σ = 35389440. Its totient is φ = 3067200.

The previous prime is 13084153. The next prime is 13084187. The reversal of 13084170 is 7148031.

13084170 is a nontrivial binomial coefficient, being equal to C(5116, 2).

It is an interprime number because it is at equal distance from previous prime (13084153) and next prime (13084187).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13084170.

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, 9591 + ... + 10869.

It is an arithmetic number, because the mean of its divisors is an integer number (552960).

Almost surely, 2^13084170 is an apocalyptic number.

13084170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13084170 is the 5115-th triangular number and also the 2558-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13084170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694720).

13084170 is an abundant number, since it is smaller than the sum of its proper divisors (22305270).

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

13084170 is a wasteful number, since it uses less digits than its factorization.

13084170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 13084170 is about 3617.2047218812. The cubic root of 13084170 is about 235.6398437365.

The spelling of 13084170 in words is "thirteen million, eighty-four thousand, one hundred seventy".