1870 has 16 divisors (see below), whose sum is σ = 3888. Its totient is φ = 640.

The previous prime is 1867. The next prime is 1871. The reversal of 1870 is 781.

1870 is nontrivially palindromic in base 13.

It is an alternating number because its digits alternate between odd and even.

1870 is an undulating number in base 13.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102 + ... + 118.

It is an arithmetic number, because the mean of its divisors is an integer number (243).

2¹⁸⁷⁰ is an apocalyptic number.

1870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1870 is the 22-nd decagonal number.

1870 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (1944).

1870 is a wasteful number, since it uses less digits than its factorization.

1870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 1870 is about 43.2434966209. The cubic root of 1870 is about 12.3200896716.

Subtracting from 1870 its reverse (781), we obtain a square (1089 = 33²).

It can be divided in two parts, 18 and 70, that added together give a palindrome (88).

The spelling of 1870 in words is "one thousand, eight hundred seventy".