292249 has 2 divisors, whose sum is σ = 292250. Its totient is φ = 292248.

The previous prime is 292241. The next prime is 292267. The reversal of 292249 is 942292.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 105625 = 432^2 + 325^2 .

It is a cyclic number.

It is not a de Polignac number, because 292249 - 2³ = 292241 is a prime.

292249 is a lucky number.

It is a zygodrome in base 5.

It is not a weakly prime, because it can be changed into another prime (292241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 146124 + 146125.

It is an arithmetic number, because the mean of its divisors is an integer number (146125).

2²⁹²²⁴⁹ is an apocalyptic number.

It is an amenable number.

292249 is a deficient number, since it is larger than the sum of its proper divisors (1).

292249 is an equidigital number, since it uses as much as digits as its factorization.

292249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 28.

The square root of 292249 is about 540.6005919346. The cubic root of 292249 is about 66.3617267458.

It can be divided in two parts, 29 and 2249, that added together give a triangular number (2278 = T₆₇).

The spelling of 292249 in words is "two hundred ninety-two thousand, two hundred forty-nine".