248292 has 72 divisors (see below), whose sum is σ = 744800. Its totient is φ = 71280.

The previous prime is 248291. The next prime is 248293. The reversal of 248292 is 292842.

It is an interprime number because it is at equal distance from previous prime (248291) and next prime (248293).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (248291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13059 + ... + 13077.

2²⁴⁸²⁹² is an apocalyptic number.

248292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372400).

248292 is an abundant number, since it is smaller than the sum of its proper divisors (496508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248292 is a wasteful number, since it uses less digits than its factorization.

248292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 35 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 248292 is about 498.2890727279. The cubic root of 248292 is about 62.8522615257.

The spelling of 248292 in words is "two hundred forty-eight thousand, two hundred ninety-two".