172541 has 2 divisors, whose sum is σ = 172542. Its totient is φ = 172540.

The previous prime is 172519. The next prime is 172553. The reversal of 172541 is 145271.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143641 + 28900 = 379^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 172541 - 2¹⁰ = 171517 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 172541.

It is not a weakly prime, because it can be changed into another prime (172561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86270 + 86271.

It is an arithmetic number, because the mean of its divisors is an integer number (86271).

2¹⁷²⁵⁴¹ is an apocalyptic number.

It is an amenable number.

172541 is a deficient number, since it is larger than the sum of its proper divisors (1).

172541 is an equidigital number, since it uses as much as digits as its factorization.

172541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 280, while the sum is 20.

The square root of 172541 is about 415.3805484131. The cubic root of 172541 is about 55.6712240443.

The spelling of 172541 in words is "one hundred seventy-two thousand, five hundred forty-one".