93249 has 12 divisors (see below), whose sum is σ = 145236. Its totient is φ = 57312.

The previous prime is 93241. The next prime is 93251. The reversal of 93249 is 94239.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 65025 = 168^2 + 255^2 .

It is not a de Polignac number, because 93249 - 2³ = 93241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (93241) 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 in 11 ways as a sum of consecutive naturals, for example, 282 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2⁹³²⁴⁹ is an apocalyptic number.

It is an amenable number.

93249 is a deficient number, since it is larger than the sum of its proper divisors (51987).

93249 is a wasteful number, since it uses less digits than its factorization.

93249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 813 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 93249 is about 305.3669923224. The cubic root of 93249 is about 45.3469478044.

Subtracting 93249 from its reverse (94239), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 9 and 3249, that multiplied together give a square (29241 = 171²).

The spelling of 93249 in words is "ninety-three thousand, two hundred forty-nine".