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978125 = 55313
BaseRepresentation
bin11101110110011001101
31211200201212
43232303031
5222300000
632544205
711212451
oct3566315
91750655
10978125
11608975
123b2065
13283295
141b6661
15144c35
hexeeccd

978125 has 12 divisors (see below), whose sum is σ = 1226484. Its totient is φ = 780000.

The previous prime is 978113. The next prime is 978149. The reversal of 978125 is 521879.

978125 = 5702 + 5712 + 5722.

It can be written as a sum of positive squares in 6 ways, for example, as 972196 + 5929 = 986^2 + 77^2 .

It is a de Polignac number, because none of the positive numbers 2k-978125 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 978091 and 978100.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 978125.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2969 + ... + 3281.

It is an arithmetic number, because the mean of its divisors is an integer number (102207).

2978125 is an apocalyptic number.

It is an amenable number.

978125 is a deficient number, since it is larger than the sum of its proper divisors (248359).

978125 is an frugal number, since it uses more digits than its factorization.

978125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its digits is 5040, while the sum is 32.

The square root of 978125 is about 989.0020222426. The cubic root of 978125 is about 99.2654509210.

The spelling of 978125 in words is "nine hundred seventy-eight thousand, one hundred twenty-five".

Divisors: 1 5 25 125 313 625 1565 3125 7825 39125 195625 978125