173641 has 12 divisors (see below), whose sum is σ = 202692. Its totient is φ = 147744.

The previous prime is 173629. The next prime is 173647. The reversal of 173641 is 146371.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 81225 = 304^2 + 285^2 .

It is not a de Polignac number, because 173641 - 2¹³ = 165449 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 173641.

It is not an unprimeable number, because it can be changed into a prime (173647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4675 + ... + 4711.

It is an arithmetic number, because the mean of its divisors is an integer number (16891).

2¹⁷³⁶⁴¹ is an apocalyptic number.

It is an amenable number.

173641 is a deficient number, since it is larger than the sum of its proper divisors (29051).

173641 is a wasteful number, since it uses less digits than its factorization.

173641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 173641 is about 416.7025317898. The cubic root of 173641 is about 55.7892803669.

The spelling of 173641 in words is "one hundred seventy-three thousand, six hundred forty-one".