827961 has 4 divisors (see below), whose sum is σ = 1103952. Its totient is φ = 551972.

The previous prime is 827941. The next prime is 827969. The reversal of 827961 is 169728.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 827961 - 2⁵ = 827929 is a prime.

It is a D-number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827961.

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 3 ways as a sum of consecutive naturals, for example, 137991 + ... + 137996.

It is an arithmetic number, because the mean of its divisors is an integer number (275988).

2⁸²⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

827961 is a deficient number, since it is larger than the sum of its proper divisors (275991).

827961 is a wasteful number, since it uses less digits than its factorization.

827961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275990.

The product of its digits is 6048, while the sum is 33.

The square root of 827961 is about 909.9236231685. The cubic root of 827961 is about 93.9009443935.

The spelling of 827961 in words is "eight hundred twenty-seven thousand, nine hundred sixty-one".