492967 has 2 divisors, whose sum is σ = 492968. Its totient is φ = 492966.

The previous prime is 492911. The next prime is 492979. The reversal of 492967 is 769294.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 492967 - 2⁷ = 492839 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (492067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 246483 + 246484.

It is an arithmetic number, because the mean of its divisors is an integer number (246484).

2⁴⁹²⁹⁶⁷ is an apocalyptic number.

492967 is a deficient number, since it is larger than the sum of its proper divisors (1).

492967 is an equidigital number, since it uses as much as digits as its factorization.

492967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 37.

The square root of 492967 is about 702.1160872676. The cubic root of 492967 is about 78.9961542752.

The spelling of 492967 in words is "four hundred ninety-two thousand, nine hundred sixty-seven".