978381131 has 16 divisors (see below), whose sum is σ = 1204896000. Its totient is φ = 773631648.

The previous prime is 978381119. The next prime is 978381137. The reversal of 978381131 is 131183879.

978381131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 978381131 - 2⁶ = 978381067 is a prime.

It is a super-2 number, since 2×978381131² = 1914459274993678322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (978381137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294920 + ... + 298218.

It is an arithmetic number, because the mean of its divisors is an integer number (75306000).

Almost surely, 2^978381131 is an apocalyptic number.

978381131 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

978381131 is a deficient number, since it is larger than the sum of its proper divisors (226514869).

978381131 is a wasteful number, since it uses less digits than its factorization.

978381131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6578.

The product of its digits is 36288, while the sum is 41.

The square root of 978381131 is about 31279.0845614126. The cubic root of 978381131 is about 992.7411468766.

The spelling of 978381131 in words is "nine hundred seventy-eight million, three hundred eighty-one thousand, one hundred thirty-one".