2170 has 16 divisors (see below), whose sum is σ = 4608. Its totient is φ = 720.

The previous prime is 2161. The next prime is 2179. The reversal of 2170 is 712.

2170 is nontrivially palindromic in base 13.

2170 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2161) and next prime (2179).

It is a Harshad number since it is a multiple of its sum of digits (10).

2170 is an undulating number in base 13.

2170 is strictly pandigital in base 5.

It is a plaindrome in base 15.

It is a nialpdrome in base 7 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2179) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55 + ... + 85.

It is an arithmetic number, because the mean of its divisors is an integer number (288).

2^{2170} is an apocalyptic number.

2170 is an abundant number, since it is smaller than the sum of its proper divisors (2438).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304).

2170 is a wasteful number, since it uses less digits than its factorization.

2170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45.

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 2170 is about 46.5832587954. The cubic root of 2170 is about 12.9465259038.

Adding to 2170 its reverse (712), we get a palindrome (2882).

It can be divided in two parts, 21 and 70, that added together give a triangular number (91 = T_{13}).

The spelling of 2170 in words is "two thousand, one hundred seventy", and thus it is an iban number.

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