852953 has 2 divisors, whose sum is σ = 852954. Its totient is φ = 852952.

The previous prime is 852937. The next prime is 852959. The reversal of 852953 is 359258.

It is a happy number.

852953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 851929 + 1024 = 923^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 852953 - 2⁴ = 852937 is a prime.

It is not a weakly prime, because it can be changed into another prime (852959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426476 + 426477.

It is an arithmetic number, because the mean of its divisors is an integer number (426477).

2⁸⁵²⁹⁵³ is an apocalyptic number.

It is an amenable number.

852953 is a deficient number, since it is larger than the sum of its proper divisors (1).

852953 is an equidigital number, since it uses as much as digits as its factorization.

852953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10800, while the sum is 32.

The square root of 852953 is about 923.5545463047. The cubic root of 852953 is about 94.8363943060.

The spelling of 852953 in words is "eight hundred fifty-two thousand, nine hundred fifty-three".