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970984625 = 53137732
BaseRepresentation
bin111001111000000…
…000110010110001
32111200002010111112
4321320000302301
53442033002000
6240203323105
733030142652
oct7170006261
92450063445
10970984625
11459106136
12231220495
1312621b420
1492d57529
155a39e235
hex39e00cb1

970984625 has 24 divisors (see below), whose sum is σ = 1306693752. Its totient is φ = 716107200.

The previous prime is 970984621. The next prime is 970984633. The reversal of 970984625 is 526489079.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 948393616 + 22591009 = 30796^2 + 4753^2 .

It is not a de Polignac number, because 970984625 - 22 = 970984621 is a prime.

It is a super-2 number, since 2×9709846252 = 1885622283972781250, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970984621) 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 23 ways as a sum of consecutive naturals, for example, 1255739 + ... + 1256511.

It is an arithmetic number, because the mean of its divisors is an integer number (54445573).

Almost surely, 2970984625 is an apocalyptic number.

It is an amenable number.

970984625 is a deficient number, since it is larger than the sum of its proper divisors (335709127).

970984625 is an frugal number, since it uses more digits than its factorization.

970984625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The square root of 970984625 is about 31160.6261971739. The cubic root of 970984625 is about 990.2331270867.

The spelling of 970984625 in words is "nine hundred seventy million, nine hundred eighty-four thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 773 1625 3865 10049 19325 50245 96625 251225 597529 1256125 2987645 7767877 14938225 38839385 74691125 194196925 970984625