827742 has 8 divisors (see below), whose sum is σ = 1655496. Its totient is φ = 275912.

The previous prime is 827741. The next prime is 827767. The reversal of 827742 is 247728.

827742 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.

827742 is an admirable number.

It is a d-powerful number, because it can be written as 8² + 2⁴ + 7 + 7⁷ + 4² + 2¹² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827741) 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, 68973 + ... + 68984.

It is an arithmetic number, because the mean of its divisors is an integer number (206937).

2⁸²⁷⁷⁴² is an apocalyptic number.

827742 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

827742 is a wasteful number, since it uses less digits than its factorization.

827742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137962.

The product of its digits is 6272, while the sum is 30.

The square root of 827742 is about 909.8032754393. The cubic root of 827742 is about 93.8926645671.

The spelling of 827742 in words is "eight hundred twenty-seven thousand, seven hundred forty-two".