9965346127 has 16 divisors (see below), whose sum is σ = 11755694592. Its totient is φ = 8345077120.

The previous prime is 9965346121. The next prime is 9965346133. The reversal of 9965346127 is 7216435699.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9965346121) and next prime (9965346133).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9965346127 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9965346121) 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, 558133 + ... + 575710.

It is an arithmetic number, because the mean of its divisors is an integer number (734730912).

Almost surely, 2^9965346127 is an apocalyptic number.

9965346127 is a deficient number, since it is larger than the sum of its proper divisors (1790348465).

9965346127 is a wasteful number, since it uses less digits than its factorization.

9965346127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133918.

The product of its digits is 2449440, while the sum is 52.

The square root of 9965346127 is about 99826.5802629740. The cubic root of 9965346127 is about 2151.9431595678.

The spelling of 9965346127 in words is "nine billion, nine hundred sixty-five million, three hundred forty-six thousand, one hundred twenty-seven".