248094001 has 9 divisors (see below), whose sum is σ = 262155051. Its totient is φ = 234752904.

The previous prime is 248093999. The next prime is 248094013. The reversal of 248094001 is 100490842.

The square root of 248094001 is 15751.

It is a perfect power (a square), and thus also a powerful number.

248094001 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 142826401 + 105267600 = 11951^2 + 10260^2 .

It is not a de Polignac number, because 248094001 - 2¹ = 248093999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248094061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 298855 + ... + 299683.

It is an arithmetic number, because the mean of its divisors is an integer number (29128339).

Almost surely, 2^248094001 is an apocalyptic number.

248094001 is the 15751-st square number.

248094001 is the 7876-th centered octagonal number.

It is an amenable number.

248094001 is a deficient number, since it is larger than the sum of its proper divisors (14061050).

248094001 is an frugal number, since it uses more digits than its factorization.

248094001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The cubic root of 248094001 is about 628.3555002690.

Multiplying 248094001 by its product of nonzero digits (2304), we get a square (571608578304 = 756048²).

It can be divided in two parts, 24 and 8094001, that added together give a square (8094025 = 2845²).

The spelling of 248094001 in words is "two hundred forty-eight million, ninety-four thousand, one".