7853 has 2 divisors, whose sum is σ = 7854. Its totient is φ = 7852.

The previous prime is 7841. The next prime is 7867. The reversal of 7853 is 3587.

7853 is nontrivially palindromic in base 4.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4489 + 3364 = 67^2 + 58^2 .

7853 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 7853 - 2⁶ = 7789 is a prime.

It is a Chen prime.

It is a plaindrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3926 + 3927.

It is an arithmetic number, because the mean of its divisors is an integer number (3927).

2⁷⁸⁵³ is an apocalyptic number.

It is an amenable number.

7853 is a deficient number, since it is larger than the sum of its proper divisors (1).

7853 is an equidigital number, since it uses as much as digits as its factorization.

7853 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 840, while the sum is 23.

The square root of 7853 is about 88.6171540956. The cubic root of 7853 is about 19.8767419329.

It can be divided in two parts, 78 and 53, that added together give a palindrome (131).

The spelling of 7853 in words is "seven thousand, eight hundred fifty-three".