966607749 has 20 divisors (see below), whose sum is σ = 1457205420. Its totient is φ = 638487360.

The previous prime is 966607699. The next prime is 966607771. The reversal of 966607749 is 947706669.

966607749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 391327524 + 575280225 = 19782^2 + 23985^2 .

It is not a de Polignac number, because 966607749 - 2⁹ = 966607237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 966607695 and 966607704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966607049) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45912 + ... + 63569.

It is an arithmetic number, because the mean of its divisors is an integer number (72860271).

Almost surely, 2^966607749 is an apocalyptic number.

It is an amenable number.

966607749 is a deficient number, since it is larger than the sum of its proper divisors (490597671).

966607749 is a wasteful number, since it uses less digits than its factorization.

966607749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109602 (or 109593 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 966607749 is about 31090.3160003240. The cubic root of 966607749 is about 988.7430052306.

The spelling of 966607749 in words is "nine hundred sixty-six million, six hundred seven thousand, seven hundred forty-nine".