214976961 has 12 divisors (see below), whose sum is σ = 310737492. Its totient is φ = 143218656.

The previous prime is 214976959. The next prime is 214976977. The reversal of 214976961 is 169679412.

It can be written as a sum of positive squares in 2 ways, for example, as 48566961 + 166410000 = 6969^2 + 12900^2 .

It is not a de Polignac number, because 214976961 - 2¹ = 214976959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214976921) 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 11 ways as a sum of consecutive naturals, for example, 6895 + ... + 21851.

It is an arithmetic number, because the mean of its divisors is an integer number (25894791).

Almost surely, 2^214976961 is an apocalyptic number.

It is an amenable number.

214976961 is a deficient number, since it is larger than the sum of its proper divisors (95760531).

214976961 is a wasteful number, since it uses less digits than its factorization.

214976961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16560 (or 16557 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 214976961 is about 14662.0926541882. The cubic root of 214976961 is about 599.0512422219.

The spelling of 214976961 in words is "two hundred fourteen million, nine hundred seventy-six thousand, nine hundred sixty-one".