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35521 is a prime number
BaseRepresentation
bin1000101011000001
31210201121
420223001
52114041
6432241
7205363
oct105301
953647
1035521
1124762
1218681
1313225
14cd33
15a7d1
hex8ac1

35521 has 2 divisors, whose sum is σ = 35522. Its totient is φ = 35520.

The previous prime is 35509. The next prime is 35527. The reversal of 35521 is 12553.

It can be divided in two parts, 3552 and 1, that added together give a palindrome (3553).

35521 is nontrivially palindromic in base 12.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34225 + 1296 = 185^2 + 36^2 .

It is an emirp because it is prime and its reverse (12553) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35521 - 27 = 35393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35495 and 35504.

It is not a weakly prime, because it can be changed into another prime (35527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17760 + 17761.

It is an arithmetic number, because the mean of its divisors is an integer number (17761).

235521 is an apocalyptic number.

It is an amenable number.

35521 is a deficient number, since it is larger than the sum of its proper divisors (1).

35521 is an equidigital number, since it uses as much as digits as its factorization.

35521 is an evil number, because the sum of its binary digits is even.

The product of its digits is 150, while the sum is 16.

The square root of 35521 is about 188.4701567888. The cubic root of 35521 is about 32.8721715388.

The spelling of 35521 in words is "thirty-five thousand, five hundred twenty-one".