114896961 has 21 divisors (see below), whose sum is σ = 172701651. Its totient is φ = 76405032.

The previous prime is 114896941. The next prime is 114896993. The reversal of 114896961 is 169698411.

The square root of 114896961 is 10719.

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., 77000625 + 37896336 = 8775^2 + 6156^2 .

It is not a de Polignac number, because 114896961 - 2⁷ = 114896833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114896941) 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 20 ways as a sum of consecutive naturals, for example, 289215 + ... + 289611.

Almost surely, 2^114896961 is an apocalyptic number.

114896961 is the 10719-th square number.

114896961 is the 5360-th centered octagonal number.

It is an amenable number.

114896961 is a deficient number, since it is larger than the sum of its proper divisors (57804690).

114896961 is an frugal number, since it uses more digits than its factorization.

114896961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 400 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The cubic root of 114896961 is about 486.1491311885.

The spelling of 114896961 in words is "one hundred fourteen million, eight hundred ninety-six thousand, nine hundred sixty-one".