107967933 has 12 divisors (see below), whose sum is σ = 157002300. Its totient is φ = 71494656.

The previous prime is 107967877. The next prime is 107967941. The reversal of 107967933 is 339769701.

It can be written as a sum of positive squares in 2 ways, for example, as 4782969 + 103184964 = 2187^2 + 10158^2 .

It is not a de Polignac number, because 107967933 - 2⁸ = 107967677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107967733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38916 + ... + 41597.

It is an arithmetic number, because the mean of its divisors is an integer number (13083525).

Almost surely, 2^107967933 is an apocalyptic number.

It is an amenable number.

107967933 is a deficient number, since it is larger than the sum of its proper divisors (49034367).

107967933 is a wasteful number, since it uses less digits than its factorization.

107967933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80668 (or 80665 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The square root of 107967933 is about 10390.7619066169. The cubic root of 107967933 is about 476.1731783420.

It can be divided in two parts, 107967 and 933, that added together give a square (108900 = 330²).

The spelling of 107967933 in words is "one hundred seven million, nine hundred sixty-seven thousand, nine hundred thirty-three".