462953 has 2 divisors, whose sum is σ = 462954. Its totient is φ = 462952.

The previous prime is 462947. The next prime is 462983. The reversal of 462953 is 359264.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 458329 + 4624 = 677^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 462953 - 2⁴ = 462937 is a prime.

It is a d-powerful number, because it can be written as 4⁸ + 6⁷ + 9⁴ + 2¹⁵ + 5⁷ + 3³ .

It is not a weakly prime, because it can be changed into another prime (462983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 231476 + 231477.

It is an arithmetic number, because the mean of its divisors is an integer number (231477).

2⁴⁶²⁹⁵³ is an apocalyptic number.

It is an amenable number.

462953 is a deficient number, since it is larger than the sum of its proper divisors (1).

462953 is an equidigital number, since it uses as much as digits as its factorization.

462953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6480, while the sum is 29.

The square root of 462953 is about 680.4064961477. The cubic root of 462953 is about 77.3592589618.

The spelling of 462953 in words is "four hundred sixty-two thousand, nine hundred fifty-three".