248157 has 32 divisors (see below), whose sum is σ = 456960. Its totient is φ = 129600.

The previous prime is 248141. The next prime is 248161. The reversal of 248157 is 751842.

It is not a de Polignac number, because 248157 - 2⁴ = 248141 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 248157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2407 + ... + 2507.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2²⁴⁸¹⁵⁷ is an apocalyptic number.

248157 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

248157 is a deficient number, since it is larger than the sum of its proper divisors (208803).

248157 is a wasteful number, since it uses less digits than its factorization.

248157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 248157 is about 498.1535907730. The cubic root of 248157 is about 62.8408682286.

Adding to 248157 its reverse (751842), we get a palindrome (999999).

The spelling of 248157 in words is "two hundred forty-eight thousand, one hundred fifty-seven".