827361 has 8 divisors (see below), whose sum is σ = 1225760. Its totient is φ = 551556.

The previous prime is 827347. The next prime is 827369. The reversal of 827361 is 163728.

It is not a de Polignac number, because 827361 - 2⁹ = 826849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 30643 = 827361 / (8 + 2 + 7 + 3 + 6 + 1).

It is an Ulam number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827361.

It is not an unprimeable number, because it can be changed into a prime (827369) 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, 15295 + ... + 15348.

It is an arithmetic number, because the mean of its divisors is an integer number (153220).

2⁸²⁷³⁶¹ is an apocalyptic number.

It is an amenable number.

827361 is a deficient number, since it is larger than the sum of its proper divisors (398399).

827361 is a wasteful number, since it uses less digits than its factorization.

827361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30652 (or 30646 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 827361 is about 909.5938654147. The cubic root of 827361 is about 93.8782564563.

The spelling of 827361 in words is "eight hundred twenty-seven thousand, three hundred sixty-one".