1853 has 4 divisors (see below), whose sum is σ = 1980. Its totient is φ = 1728.

The previous prime is 1847. The next prime is 1861. The reversal of 1853 is 3581.

1853 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1369 + 484 = 37^2 + 22^2 .

It is a cyclic number.

It is not a de Polignac number, because 1853 - 2⁶ = 1789 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 109 = 1853 / (1 + 8 + 5 + 3).

It is an Ulam number.

It is a Duffinian number.

1853 is an undulating number in base 15.

It is a plaindrome in base 9.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38 + ... + 71.

It is an arithmetic number, because the mean of its divisors is an integer number (495).

2¹⁸⁵³ is an apocalyptic number.

It is an amenable number.

1853 is a deficient number, since it is larger than the sum of its proper divisors (127).

1853 is a wasteful number, since it uses less digits than its factorization.

1853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126.

The product of its digits is 120, while the sum is 17.

The square root of 1853 is about 43.0464865001. The cubic root of 1853 is about 12.2826423595.

Subtracting 1853 from its reverse (3581), we obtain a cube (1728 = 12³).

It can be divided in two parts, 185 and 3, that multiplied together give a palindrome (555).

The spelling of 1853 in words is "one thousand, eight hundred fifty-three".