91249 has 2 divisors, whose sum is σ = 91250. Its totient is φ = 91248.

The previous prime is 91243. The next prime is 91253. The reversal of 91249 is 94219.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 42849 = 220^2 + 207^2 .

It is an emirp because it is prime and its reverse (94219) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91249 - 2⁷ = 91121 is a prime.

It is not a weakly prime, because it can be changed into another prime (91243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45624 + 45625.

It is an arithmetic number, because the mean of its divisors is an integer number (45625).

2⁹¹²⁴⁹ is an apocalyptic number.

It is an amenable number.

91249 is a deficient number, since it is larger than the sum of its proper divisors (1).

91249 is an equidigital number, since it uses as much as digits as its factorization.

91249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 25.

The square root of 91249 is about 302.0744941236. The cubic root of 91249 is about 45.0204022712.

Subtracting from 91249 its product of digits (648), we obtain a square (90601 = 301²).

It can be divided in two parts, 912 and 49, that added together give a square (961 = 31²).

The spelling of 91249 in words is "ninety-one thousand, two hundred forty-nine".