825553 has 2 divisors, whose sum is σ = 825554. Its totient is φ = 825552.

The previous prime is 825551. The next prime is 825577. The reversal of 825553 is 355528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 824464 + 1089 = 908^2 + 33^2 .

It is a cyclic number.

It is not a de Polignac number, because 825553 - 2¹ = 825551 is a prime.

Together with 825551, it forms a pair of twin primes.

It is equal to p₆₅₈₄₅ and since 825553 and 65845 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (825551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412776 + 412777.

It is an arithmetic number, because the mean of its divisors is an integer number (412777).

2⁸²⁵⁵⁵³ is an apocalyptic number.

It is an amenable number.

825553 is a deficient number, since it is larger than the sum of its proper divisors (1).

825553 is an equidigital number, since it uses as much as digits as its factorization.

825553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6000, while the sum is 28.

The square root of 825553 is about 908.5994717146. The cubic root of 825553 is about 93.8098237431.

It can be divided in two parts, 825 and 553, that added together give a triangular number (1378 = T₅₂).

The spelling of 825553 in words is "eight hundred twenty-five thousand, five hundred fifty-three".