363541 has 2 divisors, whose sum is σ = 363542. Its totient is φ = 363540.

The previous prime is 363533. The next prime is 363551. The reversal of 363541 is 145363.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 342225 + 21316 = 585^2 + 146^2 .

It is a cyclic number.

It is not a de Polignac number, because 363541 - 2³ = 363533 is a prime.

It is a Chen prime.

363541 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (363551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181770 + 181771.

It is an arithmetic number, because the mean of its divisors is an integer number (181771).

2³⁶³⁵⁴¹ is an apocalyptic number.

It is an amenable number.

363541 is a deficient number, since it is larger than the sum of its proper divisors (1).

363541 is an equidigital number, since it uses as much as digits as its factorization.

363541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1080, while the sum is 22.

The square root of 363541 is about 602.9436126206. The cubic root of 363541 is about 71.3703455017.

The spelling of 363541 in words is "three hundred sixty-three thousand, five hundred forty-one".