462541 has 2 divisors, whose sum is σ = 462542. Its totient is φ = 462540.

The previous prime is 462529. The next prime is 462547. The reversal of 462541 is 145264.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 324900 + 137641 = 570^2 + 371^2 .

It is a cyclic number.

It is not a de Polignac number, because 462541 - 2¹⁵ = 429773 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 (462547) 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, 231270 + 231271.

It is an arithmetic number, because the mean of its divisors is an integer number (231271).

2⁴⁶²⁵⁴¹ is an apocalyptic number.

It is an amenable number.

462541 is a deficient number, since it is larger than the sum of its proper divisors (1).

462541 is an equidigital number, since it uses as much as digits as its factorization.

462541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 960, while the sum is 22.

The square root of 462541 is about 680.1036685683. The cubic root of 462541 is about 77.3363038065.

It can be divided in two parts, 462 and 541, that multiplied together give a palindrome (249942).

The spelling of 462541 in words is "four hundred sixty-two thousand, five hundred forty-one".