673827 has 16 divisors (see below), whose sum is σ = 1120512. Its totient is φ = 349920.

The previous prime is 673817. The next prime is 673837. The reversal of 673827 is 728376.

It is an interprime number because it is at equal distance from previous prime (673817) and next prime (673837).

It is not a de Polignac number, because 673827 - 2⁴ = 673811 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (673817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228 + ... + 1689.

It is an arithmetic number, because the mean of its divisors is an integer number (70032).

2⁶⁷³⁸²⁷ is an apocalyptic number.

673827 is a deficient number, since it is larger than the sum of its proper divisors (446685).

673827 is a wasteful number, since it uses less digits than its factorization.

673827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938.

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

The square root of 673827 is about 820.8696607867. The cubic root of 673827 is about 87.6696897536.

The spelling of 673827 in words is "six hundred seventy-three thousand, eight hundred twenty-seven".