978 has 8 divisors (see below), whose sum is σ = 1968. Its totient is φ = 324.

The previous prime is 977. The next prime is 983. The reversal of 978 is 879.

Subtracting from 978 its product of digits (504), we obtain a palindrome (474).

Subtracting from 978 its reverse (879), we obtain a palindrome (99).

It can be divided in two parts, 97 and 8, that added together give a triangular number (105 = T_{14}).

978 = 2^{4} + 3^{4} + ... + 5^{4}.

978 is nontrivially palindromic in base 12.

978 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

978 is an admirable number.

978 is an undulating number in base 12.

Its product of digits (504) is a multiple of the sum of its prime divisors (168).

978 is strictly pandigital in base 5.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76 + ... + 87.

It is an arithmetic number, because the mean of its divisors is an integer number (246).

978 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984).

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

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

The sum of its prime factors is 168.

The product of its digits is 504, while the sum is 24.

The square root of 978 is about 31.2729915422. The cubic root of 978 is about 9.9261222181.

The spelling of 978 in words is "nine hundred seventy-eight", and thus it is an aban number and an oban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.064 sec. • engine limits •