248521 has 8 divisors (see below), whose sum is σ = 305984. Its totient is φ = 196560.

The previous prime is 248509. The next prime is 248533. The reversal of 248521 is 125842.

248521 = T₁₈₉ + T₁₉₀ + ... + T₂₀₁.

It is an interprime number because it is at equal distance from previous prime (248509) and next prime (248533).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 248521 - 2¹¹ = 246473 is a prime.

248521 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 248492 and 248501.

It is not an unprimeable number, because it can be changed into a prime (248021) 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, 1275 + ... + 1456.

It is an arithmetic number, because the mean of its divisors is an integer number (38248).

2²⁴⁸⁵²¹ is an apocalyptic number.

It is an amenable number.

248521 is a deficient number, since it is larger than the sum of its proper divisors (57463).

248521 is a wasteful number, since it uses less digits than its factorization.

248521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751.

The product of its digits is 640, while the sum is 22.

The square root of 248521 is about 498.5188060645. The cubic root of 248521 is about 62.8715784928.

The spelling of 248521 in words is "two hundred forty-eight thousand, five hundred twenty-one".