825313 has 8 divisors (see below), whose sum is σ = 865280. Its totient is φ = 786240.

The previous prime is 825301. The next prime is 825329. The reversal of 825313 is 313528.

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 825313 - 2⁵ = 825281 is a prime.

It is a super-2 number, since 2×825313² = 1362283095938, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2281 + ... + 2617.

It is an arithmetic number, because the mean of its divisors is an integer number (108160).

2⁸²⁵³¹³ is an apocalyptic number.

It is an amenable number.

825313 is a deficient number, since it is larger than the sum of its proper divisors (39967).

825313 is a wasteful number, since it uses less digits than its factorization.

825313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447.

The product of its digits is 720, while the sum is 22.

The square root of 825313 is about 908.4673907191. The cubic root of 825313 is about 93.8007322453.

The spelling of 825313 in words is "eight hundred twenty-five thousand, three hundred thirteen".