8007249 has 16 divisors (see below), whose sum is σ = 11024640. Its totient is φ = 5166720.

The previous prime is 8007229. The next prime is 8007271. The reversal of 8007249 is 9427008.

8007249 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8007249 - 2⁷ = 8007121 is a prime.

It is a super-3 number, since 3×8007249³ (a number of 22 digits) contains 333 as substring.

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8007229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15109 + ... + 15629.

It is an arithmetic number, because the mean of its divisors is an integer number (689040).

Almost surely, 2^8007249 is an apocalyptic number.

It is an amenable number.

8007249 is a deficient number, since it is larger than the sum of its proper divisors (3017391).

8007249 is a wasteful number, since it uses less digits than its factorization.

8007249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 8007249 is about 2829.7082888524. The cubic root of 8007249 is about 200.0603900967.

It can be divided in two parts, 8007 and 249, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 8007249 in words is "eight million, seven thousand, two hundred forty-nine".