248997 has 16 divisors (see below), whose sum is σ = 387072. Its totient is φ = 139440.

The previous prime is 248987. The next prime is 249017. The reversal of 248997 is 799842.

248997 = 109² + 110² + ... + 126².

It is not a de Polignac number, because 248997 - 2⁴ = 248981 is a prime.

248997 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248997.

It is not an unprimeable number, because it can be changed into a prime (248987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1408 + ... + 1574.

It is an arithmetic number, because the mean of its divisors is an integer number (24192).

2²⁴⁸⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

248997 is a deficient number, since it is larger than the sum of its proper divisors (138075).

248997 is a wasteful number, since it uses less digits than its factorization.

248997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248.

The product of its digits is 36288, while the sum is 39.

The square root of 248997 is about 498.9959919679. The cubic root of 248997 is about 62.9116928561.

The spelling of 248997 in words is "two hundred forty-eight thousand, nine hundred ninety-seven".