673641 has 18 divisors (see below), whose sum is σ = 1019070. Its totient is φ = 428736.

The previous prime is 673639. The next prime is 673643. The reversal of 673641 is 146376.

673641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (673639) and next prime (673643).

It can be written as a sum of positive squares in 3 ways, for example, as 41616 + 632025 = 204^2 + 795^2 .

It is not a de Polignac number, because 673641 - 2¹ = 673639 is a prime.

673641 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 673641.

It is not an unprimeable number, because it can be changed into a prime (673643) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7525 + ... + 7613.

It is an arithmetic number, because the mean of its divisors is an integer number (56615).

2⁶⁷³⁶⁴¹ is an apocalyptic number.

It is an amenable number.

673641 is a deficient number, since it is larger than the sum of its proper divisors (345429).

673641 is a wasteful number, since it uses less digits than its factorization.

673641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 121 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 673641 is about 820.7563584889. The cubic root of 673641 is about 87.6616223699.

The spelling of 673641 in words is "six hundred seventy-three thousand, six hundred forty-one".