827673 has 16 divisors (see below), whose sum is σ = 1376256. Its totient is φ = 429840.

The previous prime is 827639. The next prime is 827677. The reversal of 827673 is 376728.

It is not a de Polignac number, because 827673 - 2⁸ = 827417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a d-powerful number, because it can be written as 8 + 2¹¹ + 6⁴ + 7² + 7⁷ + 3⁶ .

827673 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (827677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1561 + ... + 2022.

It is an arithmetic number, because the mean of its divisors is an integer number (86016).

2⁸²⁷⁶⁷³ is an apocalyptic number.

It is an amenable number.

827673 is a deficient number, since it is larger than the sum of its proper divisors (548583).

827673 is a wasteful number, since it uses less digits than its factorization.

827673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604.

The product of its digits is 14112, while the sum is 33.

The square root of 827673 is about 909.7653543634. The cubic root of 827673 is about 93.8900555521.

The spelling of 827673 in words is "eight hundred twenty-seven thousand, six hundred seventy-three".