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172633321 = 7218772
BaseRepresentation
bin10100100101000…
…10110011101001
3110000211200101201
422102202303221
5323143231241
625044044201
74164234100
oct1222426351
9400750351
10172633321
11894a0a73
1249993661
13299c4ac3
1418cdb037
1510250931
hexa4a2ce9

172633321 has 9 divisors (see below), whose sum is σ = 200925399. Its totient is φ = 147892584.

The previous prime is 172633313. The next prime is 172633343. The reversal of 172633321 is 123336271.

The square root of 172633321 is 13139.

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

It can be written as a sum of positive squares in only one way, i.e., 108056025 + 64577296 = 10395^2 + 8036^2 .

It is not a de Polignac number, because 172633321 - 23 = 172633313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 172633321.

It is not an unprimeable number, because it can be changed into a prime (172633421) 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 8 ways as a sum of consecutive naturals, for example, 91035 + ... + 92911.

Almost surely, 2172633321 is an apocalyptic number.

172633321 is the 13139-th square number.

172633321 is the 6570-th centered octagonal number.

It is an amenable number.

172633321 is a deficient number, since it is larger than the sum of its proper divisors (28292078).

172633321 is an frugal number, since it uses more digits than its factorization.

172633321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 1884 counting only the distinct ones).

The product of its digits is 4536, while the sum is 28.

The cubic root of 172633321 is about 556.8115155269.

Adding to 172633321 its reverse (123336271), we get a palindrome (295969592).

The spelling of 172633321 in words is "one hundred seventy-two million, six hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 7 49 1877 13139 91973 3523129 24661903 172633321