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972531365 = 51376119661
BaseRepresentation
bin111001111101111…
…010011010100101
32111202222201020012
4321331322122211
53442432000430
6240300420005
733046244261
oct7175723245
92452881205
10972531365
11459a72233
12231847605
13126640460
149323b0a1
155a5a7695
hex39f7a6a5

972531365 has 16 divisors (see below), whose sum is σ = 1258525296. Its totient is φ = 717196800.

The previous prime is 972531361. The next prime is 972531383. The reversal of 972531365 is 563135279.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 314814049 + 657717316 = 17743^2 + 25646^2 .

It is not a de Polignac number, because 972531365 - 22 = 972531361 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972531361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39635 + ... + 59295.

It is an arithmetic number, because the mean of its divisors is an integer number (78657831).

Almost surely, 2972531365 is an apocalyptic number.

It is an amenable number.

972531365 is a deficient number, since it is larger than the sum of its proper divisors (285993931).

972531365 is a wasteful number, since it uses less digits than its factorization.

972531365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20440.

The product of its digits is 170100, while the sum is 41.

The square root of 972531365 is about 31185.4351420659. The cubic root of 972531365 is about 990.7586488405.

The spelling of 972531365 in words is "nine hundred seventy-two million, five hundred thirty-one thousand, three hundred sixty-five".

Divisors: 1 5 13 65 761 3805 9893 19661 49465 98305 255593 1277965 14962021 74810105 194506273 972531365