462733 has 2 divisors, whose sum is σ = 462734. Its totient is φ = 462732.

The previous prime is 462727. The next prime is 462739. The reversal of 462733 is 337264.

It is a balanced prime because it is at equal distance from previous prime (462727) and next prime (462739).

It can be written as a sum of positive squares in only one way, i.e., 413449 + 49284 = 643^2 + 222^2 .

It is a cyclic number.

It is not a de Polignac number, because 462733 - 2⁹ = 462221 is a prime.

It is equal to p₃₈₆₆₂ and since 462733 and 38662 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 462698 and 462707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (462739) 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, 231366 + 231367.

It is an arithmetic number, because the mean of its divisors is an integer number (231367).

2⁴⁶²⁷³³ is an apocalyptic number.

It is an amenable number.

462733 is a deficient number, since it is larger than the sum of its proper divisors (1).

462733 is an equidigital number, since it uses as much as digits as its factorization.

462733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 25.

The square root of 462733 is about 680.2448088740. The cubic root of 462733 is about 77.3470030499.

Adding to 462733 its reverse (337264), we get a palindrome (799997).

The spelling of 462733 in words is "four hundred sixty-two thousand, seven hundred thirty-three".