462013 has 2 divisors, whose sum is σ = 462014. Its totient is φ = 462012.

The previous prime is 461983. The next prime is 462041. The reversal of 462013 is 310264.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 381924 + 80089 = 618^2 + 283^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-462013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (462073) 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, 231006 + 231007.

It is an arithmetic number, because the mean of its divisors is an integer number (231007).

2⁴⁶²⁰¹³ is an apocalyptic number.

It is an amenable number.

462013 is a deficient number, since it is larger than the sum of its proper divisors (1).

462013 is an equidigital number, since it uses as much as digits as its factorization.

462013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 462013 is about 679.7153816120. The cubic root of 462013 is about 77.3068656120.

Adding to 462013 its reverse (310264), we get a palindrome (772277).

The spelling of 462013 in words is "four hundred sixty-two thousand, thirteen".