982400345 has 16 divisors (see below), whose sum is σ = 1206696960. Its totient is φ = 767452224.

The previous prime is 982400329. The next prime is 982400351. The reversal of 982400345 is 543004289.

It is a cyclic number.

It is not a de Polignac number, because 982400345 - 2⁴ = 982400329 is a prime.

It is a super-2 number, since 2×982400345² = 1930220875712238050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104291 + ... + 113319.

It is an arithmetic number, because the mean of its divisors is an integer number (75418560).

Almost surely, 2^982400345 is an apocalyptic number.

It is an amenable number.

982400345 is a deficient number, since it is larger than the sum of its proper divisors (224296615).

982400345 is a wasteful number, since it uses less digits than its factorization.

982400345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9544.

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 982400345 is about 31343.2663422305. The cubic root of 982400345 is about 994.0986913953.

The spelling of 982400345 in words is "nine hundred eighty-two million, four hundred thousand, three hundred forty-five".