107966333 has 8 divisors (see below), whose sum is σ = 114709080. Its totient is φ = 101424960.

The previous prime is 107966329. The next prime is 107966399. The reversal of 107966333 is 333669701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64432729 + 43533604 = 8027^2 + 6598^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107966333 - 2² = 107966329 is a prime.

It is a super-3 number, since 3×107966333³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107966233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49238 + ... + 51383.

It is an arithmetic number, because the mean of its divisors is an integer number (14338635).

Almost surely, 2^107966333 is an apocalyptic number.

It is an amenable number.

107966333 is a deficient number, since it is larger than the sum of its proper divisors (6742747).

107966333 is a wasteful number, since it uses less digits than its factorization.

107966333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100687.

The product of its (nonzero) digits is 61236, while the sum is 38.

The square root of 107966333 is about 10390.6849148649. The cubic root of 107966333 is about 476.1708261595.

The spelling of 107966333 in words is "one hundred seven million, nine hundred sixty-six thousand, three hundred thirty-three".