292993 has 2 divisors, whose sum is σ = 292994. Its totient is φ = 292992.

The previous prime is 292979. The next prime is 293021. The reversal of 292993 is 399292.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288369 + 4624 = 537^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 292993 - 2¹⁷ = 161921 is a prime.

It is not a weakly prime, because it can be changed into another prime (292933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 146496 + 146497.

It is an arithmetic number, because the mean of its divisors is an integer number (146497).

2²⁹²⁹⁹³ is an apocalyptic number.

It is an amenable number.

292993 is a deficient number, since it is larger than the sum of its proper divisors (1).

292993 is an equidigital number, since it uses as much as digits as its factorization.

292993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8748, while the sum is 34.

The square root of 292993 is about 541.2882780922. The cubic root of 292993 is about 66.4179930190.

The spelling of 292993 in words is "two hundred ninety-two thousand, nine hundred ninety-three".