966251214 has 64 divisors (see below), whose sum is σ = 2247137280. Its totient is φ = 307385280.

The previous prime is 966251207. The next prime is 966251243. The reversal of 966251214 is 412152669.

966251214 is a `hidden beast` number, since 9 + 6 + 625 + 1 + 21 + 4 = 666.

It is a super-3 number, since 3×966251214³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118249 + ... + 126155.

It is an arithmetic number, because the mean of its divisors is an integer number (35111520).

Almost surely, 2^966251214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966251214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123568640).

966251214 is an abundant number, since it is smaller than the sum of its proper divisors (1280886066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

966251214 is a wasteful number, since it uses less digits than its factorization.

966251214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8022 (or 8016 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 966251214 is about 31084.5816121112. The cubic root of 966251214 is about 988.6214237379.

The spelling of 966251214 in words is "nine hundred sixty-six million, two hundred fifty-one thousand, two hundred fourteen".