825105 has 16 divisors (see below), whose sum is σ = 1341504. Its totient is φ = 432960.

The previous prime is 825101. The next prime is 825107. The reversal of 825105 is 501528.

It is not a de Polignac number, because 825105 - 2² = 825101 is a prime.

It is a super-2 number, since 2×825105² = 1361596522050, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (825101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595 + ... + 1415.

It is an arithmetic number, because the mean of its divisors is an integer number (83844).

2⁸²⁵¹⁰⁵ is an apocalyptic number.

It is an amenable number.

825105 is a deficient number, since it is larger than the sum of its proper divisors (516399).

825105 is a wasteful number, since it uses less digits than its factorization.

825105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 825105 is about 908.3529049879. The cubic root of 825105 is about 93.7928515214.

The spelling of 825105 in words is "eight hundred twenty-five thousand, one hundred five".