9780345 has 80 divisors (see below), whose sum is σ = 19514880. Its totient is φ = 4665600.

The previous prime is 9780343. The next prime is 9780347. The reversal of 9780345 is 5430879.

It is an interprime number because it is at equal distance from previous prime (9780343) and next prime (9780347).

It is not a de Polignac number, because 9780345 - 2¹ = 9780343 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9780341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 238525 + ... + 238565.

It is an arithmetic number, because the mean of its divisors is an integer number (243936).

Almost surely, 2^9780345 is an apocalyptic number.

9780345 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9780345 is a deficient number, since it is larger than the sum of its proper divisors (9734535).

9780345 is a wasteful number, since it uses less digits than its factorization.

9780345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9780345 is about 3127.3543131535. The cubic root of 9780345 is about 213.8543350289.

The spelling of 9780345 in words is "nine million, seven hundred eighty thousand, three hundred forty-five".