365248 has 28 divisors (see below), whose sum is σ = 782320. Its totient is φ = 168192.

The previous prime is 365231. The next prime is 365249. The reversal of 365248 is 842563.

It is a super-2 number, since 2×365248² = 266812203008, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁹ + 6⁷ + 2¹⁶ + 5² + 4 + 8² .

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (365249) by changing a digit.

365248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 613 + ... + 1051.

It is an arithmetic number, because the mean of its divisors is an integer number (27940).

2³⁶⁵²⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391160).

365248 is an abundant number, since it is smaller than the sum of its proper divisors (417072).

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

365248 is a wasteful number, since it uses less digits than its factorization.

365248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 365248 is about 604.3575100882. The cubic root of 365248 is about 71.4818771615.

The spelling of 365248 in words is "three hundred sixty-five thousand, two hundred forty-eight".