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82337261 is a prime number
BaseRepresentation
bin1001110100001…
…01110111101101
312201221011111012
410322011313231
5132034243021
612100435005
72016566216
oct472056755
9181834435
1082337261
1142528226
12236a8a65
131409b196
14ad1440d
15736635b
hex4e85ded

82337261 has 2 divisors, whose sum is σ = 82337262. Its totient is φ = 82337260.

The previous prime is 82337221. The next prime is 82337267. The reversal of 82337261 is 16273328.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82264900 + 72361 = 9070^2 + 269^2 .

It is a cyclic number.

It is not a de Polignac number, because 82337261 - 210 = 82336237 is a prime.

It is a super-3 number, since 3×823372613 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82337267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41168630 + 41168631.

It is an arithmetic number, because the mean of its divisors is an integer number (41168631).

Almost surely, 282337261 is an apocalyptic number.

It is an amenable number.

82337261 is a deficient number, since it is larger than the sum of its proper divisors (1).

82337261 is an equidigital number, since it uses as much as digits as its factorization.

82337261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12096, while the sum is 32.

The square root of 82337261 is about 9073.9881529568. The cubic root of 82337261 is about 435.0429534367.

The spelling of 82337261 in words is "eighty-two million, three hundred thirty-seven thousand, two hundred sixty-one".