964007109 has 16 divisors (see below), whose sum is σ = 1538017600. Its totient is φ = 593234928.

The previous prime is 964007071. The next prime is 964007113. The reversal of 964007109 is 901700469.

964007109 is a `hidden beast` number, since 9 + 640 + 0 + 7 + 1 + 0 + 9 = 666.

It is not a de Polignac number, because 964007109 - 2⁸ = 964006853 is a prime.

It is a super-3 number, since 3×964007109³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964047109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1372879 + ... + 1373580.

It is an arithmetic number, because the mean of its divisors is an integer number (96126100).

Almost surely, 2^964007109 is an apocalyptic number.

It is an amenable number.

964007109 is a deficient number, since it is larger than the sum of its proper divisors (574010491).

964007109 is a wasteful number, since it uses less digits than its factorization.

964007109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746481 (or 2746475 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 964007109 is about 31048.4638750454. The cubic root of 964007109 is about 987.8554772979.

The spelling of 964007109 in words is "nine hundred sixty-four million, seven thousand, one hundred nine".