331249 has 2 divisors, whose sum is σ = 331250. Its totient is φ = 331248.

The previous prime is 331241. The next prime is 331259. The reversal of 331249 is 942133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219024 + 112225 = 468^2 + 335^2 .

It is a cyclic number.

It is not a de Polignac number, because 331249 - 2³ = 331241 is a prime.

It is not a weakly prime, because it can be changed into another prime (331241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165624 + 165625.

It is an arithmetic number, because the mean of its divisors is an integer number (165625).

2³³¹²⁴⁹ is an apocalyptic number.

It is an amenable number.

331249 is a deficient number, since it is larger than the sum of its proper divisors (1).

331249 is an equidigital number, since it uses as much as digits as its factorization.

331249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 22.

The square root of 331249 is about 575.5423529159. The cubic root of 331249 is about 69.1913055556.

It can be divided in two parts, 33124 and 9, that multiplied together give a square (298116 = 546²).

The spelling of 331249 in words is "three hundred thirty-one thousand, two hundred forty-nine".