116791249 has 9 divisors (see below), whose sum is σ = 119071771. Its totient is φ = 114554200.

The previous prime is 116791231. The next prime is 116791319. The reversal of 116791249 is 942197611.

The square root of 116791249 is 10807.

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., 112211649 + 4579600 = 10593^2 + 2140^2 .

It is not a de Polignac number, because 116791249 - 2¹⁷ = 116660177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116791219) 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, 1091454 + ... + 1091560.

Almost surely, 2^116791249 is an apocalyptic number.

116791249 is the 10807-th square number.

116791249 is the 5404-th centered octagonal number.

It is an amenable number.

116791249 is a deficient number, since it is larger than the sum of its proper divisors (2280522).

116791249 is an frugal number, since it uses more digits than its factorization.

116791249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its digits is 27216, while the sum is 40.

The cubic root of 116791249 is about 488.8062695575.

It can be divided in two parts, 1167 and 91249, that added together give a square (92416 = 304²).

The spelling of 116791249 in words is "one hundred sixteen million, seven hundred ninety-one thousand, two hundred forty-nine".