405541 has 2 divisors, whose sum is σ = 405542. Its totient is φ = 405540.

The previous prime is 405529. The next prime is 405553. The reversal of 405541 is 145504.

It is a balanced prime because it is at equal distance from previous prime (405529) and next prime (405553).

It can be written as a sum of positive squares in only one way, i.e., 302500 + 103041 = 550^2 + 321^2 .

It is a cyclic number.

It is not a de Polignac number, because 405541 - 2⁷ = 405413 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405521) 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 as a sum of consecutive naturals, namely, 202770 + 202771.

It is an arithmetic number, because the mean of its divisors is an integer number (202771).

2⁴⁰⁵⁵⁴¹ is an apocalyptic number.

It is an amenable number.

405541 is a deficient number, since it is larger than the sum of its proper divisors (1).

405541 is an equidigital number, since it uses as much as digits as its factorization.

405541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 405541 is about 636.8210109599. The cubic root of 405541 is about 74.0192912938.

It can be divided in two parts, 4055 and 41, that added together give a 12-th power (4096 = 2¹²).

The spelling of 405541 in words is "four hundred five thousand, five hundred forty-one".