827039742 has 16 divisors (see below), whose sum is σ = 1654713360. Its totient is φ = 275574272.

The previous prime is 827039723. The next prime is 827039743. The reversal of 827039742 is 247930728.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 827039694 and 827039703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827039743) 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, 8517 + ... + 41552.

It is an arithmetic number, because the mean of its divisors is an integer number (103419585).

Almost surely, 2^827039742 is an apocalyptic number.

827039742 is an abundant number, since it is smaller than the sum of its proper divisors (827673618).

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

827039742 is a wasteful number, since it uses less digits than its factorization.

827039742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52827.

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 827039742 is about 28758.2986631685. The cubic root of 827039742 is about 938.6610414502.

The spelling of 827039742 in words is "eight hundred twenty-seven million, thirty-nine thousand, seven hundred forty-two".