248749 has 2 divisors, whose sum is σ = 248750. Its totient is φ = 248748.

The previous prime is 248737. The next prime is 248753. The reversal of 248749 is 947842.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240100 + 8649 = 490^2 + 93^2 .

It is a cyclic number.

It is not a de Polignac number, because 248749 - 2⁷ = 248621 is a prime.

248749 is a lucky number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (248719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124374 + 124375.

It is an arithmetic number, because the mean of its divisors is an integer number (124375).

2²⁴⁸⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

248749 is a deficient number, since it is larger than the sum of its proper divisors (1).

248749 is an equidigital number, since it uses as much as digits as its factorization.

248749 is an evil number, because the sum of its binary digits is even.

The product of its digits is 16128, while the sum is 34.

The square root of 248749 is about 498.7474310711. The cubic root of 248749 is about 62.8907993212.

The spelling of 248749 in words is "two hundred forty-eight thousand, seven hundred forty-nine".