827957 has 4 divisors (see below), whose sum is σ = 891660. Its totient is φ = 764256.

The previous prime is 827941. The next prime is 827969. The reversal of 827957 is 759728.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 271441 + 556516 = 521^2 + 746^2 .

It is a cyclic number.

It is not a de Polignac number, because 827957 - 2⁴ = 827941 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 827957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827927) 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, 31832 + ... + 31857.

It is an arithmetic number, because the mean of its divisors is an integer number (222915).

2⁸²⁷⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

827957 is a deficient number, since it is larger than the sum of its proper divisors (63703).

827957 is a wasteful number, since it uses less digits than its factorization.

827957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63702.

The product of its digits is 35280, while the sum is 38.

The square root of 827957 is about 909.9214251791. The cubic root of 827957 is about 93.9007931769.

The spelling of 827957 in words is "eight hundred twenty-seven thousand, nine hundred fifty-seven".