7879249 has 9 divisors (see below), whose sum is σ = 9188571. Its totient is φ = 6736800.

The previous prime is 7879247. The next prime is 7879253. The reversal of 7879249 is 9429787.

The square root of 7879249 is 2807.

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

It can be written as a sum of positive squares in only one way, i.e., 7800849 + 78400 = 2793^2 + 280^2 .

It is not a de Polignac number, because 7879249 - 2¹ = 7879247 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7879199 and 7879208.

It is not an unprimeable number, because it can be changed into a prime (7879247) 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 8 ways as a sum of consecutive naturals, for example, 19449 + ... + 19849.

Almost surely, 2^7879249 is an apocalyptic number.

7879249 is the 2807-th square number.

7879249 is the 1404-th centered octagonal number.

It is an amenable number.

7879249 is a deficient number, since it is larger than the sum of its proper divisors (1309322).

7879249 is an frugal number, since it uses more digits than its factorization.

7879249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 408 counting only the distinct ones).

The product of its digits is 254016, while the sum is 46.

The cubic root of 7879249 is about 198.9886360017.

Multiplying 7879249 by its product of digits (254016), we get a square (2001455313984 = 1414728²).

It can be divided in two parts, 7879 and 249, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 7879249 in words is "seven million, eight hundred seventy-nine thousand, two hundred forty-nine".