248677 has 16 divisors (see below), whose sum is σ = 306432. Its totient is φ = 198720.

The previous prime is 248657. The next prime is 248683. The reversal of 248677 is 776842.

It is a cyclic number.

It is not a de Polignac number, because 248677 - 2¹⁵ = 215909 is a prime.

It is a deceptive number, since it divides R₂₄₈₆₇₆.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248627) 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 15 ways as a sum of consecutive naturals, for example, 5268 + ... + 5314.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2²⁴⁸⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

248677 is a deficient number, since it is larger than the sum of its proper divisors (57755).

248677 is a wasteful number, since it uses less digits than its factorization.

248677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

The product of its digits is 18816, while the sum is 34.

The square root of 248677 is about 498.6752450243. The cubic root of 248677 is about 62.8847308552.

The spelling of 248677 in words is "two hundred forty-eight thousand, six hundred seventy-seven".