825305 has 8 divisors (see below), whose sum is σ = 1066632. Its totient is φ = 609408.

The previous prime is 825301. The next prime is 825329. The reversal of 825305 is 503528.

It can be written as a sum of positive squares in 4 ways, for example, as 841 + 824464 = 29^2 + 908^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 825305 - 2² = 825301 is a prime.

It is a super-2 number, since 2×825305² = 1362256686050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (825301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6284 + ... + 6413.

It is an arithmetic number, because the mean of its divisors is an integer number (133329).

2⁸²⁵³⁰⁵ is an apocalyptic number.

It is an amenable number.

825305 is a deficient number, since it is larger than the sum of its proper divisors (241327).

825305 is a wasteful number, since it uses less digits than its factorization.

825305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12715.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 825305 is about 908.4629876885. The cubic root of 825305 is about 93.8004291650.

The spelling of 825305 in words is "eight hundred twenty-five thousand, three hundred five".