31249 has 2 divisors, whose sum is σ = 31250. Its totient is φ = 31248.
The previous prime is 31247. The next prime is 31253. The reversal of 31249 is 94213.
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 28224 + 3025 = 168^2 + 55^2 .
It is a cyclic number.
It is a trimorphic number since its cube, 30514648531249, ends in 31249.
It is not a de Polignac number, because 31249 - 21 = 31247 is a prime.
Together with 31247, it forms a pair of twin primes.
31249 is a lucky number.
It is a plaindrome in base 5.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (31247) 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, 15624 + 15625.
It is an arithmetic number, because the mean of its divisors is an integer number (15625).
231249 is an apocalyptic number.
It is an amenable number.
31249 is a deficient number, since it is larger than the sum of its proper divisors (1).
31249 is an equidigital number, since it uses as much as digits as its factorization.
31249 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 216, while the sum is 19.
The square root of 31249 is about 176.7738668469. The cubic root of 31249 is about 31.4976902648.
It can be divided in two parts, 312 and 49, that added together give a square (361 = 192).
The spelling of 31249 in words is "thirty-one thousand, two hundred forty-nine".
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