827965 has 8 divisors (see below), whose sum is σ = 1016928. Its totient is φ = 646800.

The previous prime is 827941. The next prime is 827969. The reversal of 827965 is 569728.

827965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 827965 - 2⁷ = 827837 is a prime.

It is a d-powerful number, because it can be written as 8⁴ + 2⁸ + 9 + 7⁷ + 6² + 5² .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827969) 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, 1711 + ... + 2140.

It is an arithmetic number, because the mean of its divisors is an integer number (127116).

2⁸²⁷⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

827965 is a deficient number, since it is larger than the sum of its proper divisors (188963).

827965 is a wasteful number, since it uses less digits than its factorization.

827965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899.

The product of its digits is 30240, while the sum is 37.

The square root of 827965 is about 909.9258211525. The cubic root of 827965 is about 93.9010956097.

The spelling of 827965 in words is "eight hundred twenty-seven thousand, nine hundred sixty-five".