978305 has 16 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 728640.

The previous prime is 978287. The next prime is 978323. The reversal of 978305 is 503879.

It is an interprime number because it is at equal distance from previous prime (978287) and next prime (978323).

It is not a de Polignac number, because 978305 - 2⁸ = 978049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5315 + ... + 5495.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

2⁹⁷⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

978305 is a deficient number, since it is larger than the sum of its proper divisors (279679).

978305 is a wasteful number, since it uses less digits than its factorization.

978305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 978305 is about 989.0930188814. The cubic root of 978305 is about 99.2715396742.

The spelling of 978305 in words is "nine hundred seventy-eight thousand, three hundred five".