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977500225 = 52134372
BaseRepresentation
bin111010010000110…
…111100001000001
32112010100011020001
4322100313201001
54000220001400
6240555120001
733136420612
oct7220674101
92463304201
10977500225
11461856429
12233443001
13127690000
1493b71c09
155ac39a6a
hex3a437841

977500225 has 45 divisors (see below), whose sum is σ = 1349553597. Its totient is φ = 702336960.

The previous prime is 977500217. The next prime is 977500231. The reversal of 977500225 is 522005779.

The square root of 977500225 is 31265.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 778577409 + 198922816 = 27903^2 + 14104^2 .

It is not a de Polignac number, because 977500225 - 23 = 977500217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 26418907 + ... + 26418943.

Almost surely, 2977500225 is an apocalyptic number.

977500225 is the 31265-th square number.

977500225 is the 15633-rd centered octagonal number.

It is an amenable number.

977500225 is a deficient number, since it is larger than the sum of its proper divisors (372053372).

977500225 is an frugal number, since it uses more digits than its factorization.

977500225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The cubic root of 977500225 is about 992.4431122975.

Multiplying 977500225 by its product of nonzero digits (44100), we get a square (43107759922500 = 65656502).

The spelling of 977500225 in words is "nine hundred seventy-seven million, five hundred thousand, two hundred twenty-five".

Divisors: 1 5 13 25 37 65 169 185 325 481 845 925 1369 2197 2405 4225 6253 6845 10985 12025 17797 28561 31265 34225 54925 81289 88985 142805 156325 231361 406445 444925 714025 1056757 1156805 2032225 3007693 5283785 5784025 15038465 26418925 39100009 75192325 195500045 977500225