978507 has 8 divisors (see below), whose sum is σ = 1449680. Its totient is φ = 652320.

The previous prime is 978491. The next prime is 978511. The reversal of 978507 is 705879.

It is not a de Polignac number, because 978507 - 2⁴ = 978491 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 978507.

It is not an unprimeable number, because it can be changed into a prime (978007) 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 7 ways as a sum of consecutive naturals, for example, 18094 + ... + 18147.

It is an arithmetic number, because the mean of its divisors is an integer number (181210).

2⁹⁷⁸⁵⁰⁷ is an apocalyptic number.

978507 is a deficient number, since it is larger than the sum of its proper divisors (471173).

978507 is a wasteful number, since it uses less digits than its factorization.

978507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36250 (or 36244 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 978507 is about 989.1951273637. The cubic root of 978507 is about 99.2783717191.

It can be divided in two parts, 978 and 507, that added together give a triangular number (1485 = T₅₄).

The spelling of 978507 in words is "nine hundred seventy-eight thousand, five hundred seven".