248967 has 8 divisors (see below), whose sum is σ = 368880. Its totient is φ = 165960.

The previous prime is 248909. The next prime is 248971. The reversal of 248967 is 769842.

It is not a de Polignac number, because 248967 - 2⁶ = 248903 is a prime.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4584 + ... + 4637.

It is an arithmetic number, because the mean of its divisors is an integer number (46110).

2²⁴⁸⁹⁶⁷ is an apocalyptic number.

248967 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

248967 is a deficient number, since it is larger than the sum of its proper divisors (119913).

248967 is an equidigital number, since it uses as much as digits as its factorization.

248967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9230 (or 9224 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 248967 is about 498.9659307007. The cubic root of 248967 is about 62.9091661502.

It can be divided in two parts, 2489 and 67, that added together give a triangular number (2556 = T₇₁).

The spelling of 248967 in words is "two hundred forty-eight thousand, nine hundred sixty-seven".