979251849 has 63 divisors (see below), whose sum is σ = 1575366039. Its totient is φ = 608335920.

The previous prime is 979251829. The next prime is 979251853. The reversal of 979251849 is 948152979.

The square root of 979251849 is 31293.

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

979251849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31843449 + 947408400 = 5643^2 + 30780^2 .

It is not a de Polignac number, because 979251849 - 2²⁹ = 442380937 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 979251795 and 979251804.

It is not an unprimeable number, because it can be changed into a prime (979251829) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 16053279 + ... + 16053339.

Almost surely, 2^979251849 is an apocalyptic number.

979251849 is the 31293-rd square number.

979251849 is the 15647-th centered octagonal number.

It is an amenable number.

979251849 is a deficient number, since it is larger than the sum of its proper divisors (596114190).

979251849 is an frugal number, since it uses more digits than its factorization.

979251849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 83 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The cubic root of 979251849 is about 993.0355588256.

It can be divided in two parts, 979251 and 849, that added together give a square (980100 = 990²).

The spelling of 979251849 in words is "nine hundred seventy-nine million, two hundred fifty-one thousand, eight hundred forty-nine".