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61672133 is a prime number
BaseRepresentation
bin1110101101000…
…0101011000101
311022001021021002
43223100223011
5111242002013
610041503045
71346130065
oct353205305
9138037232
1061672133
11318a3206
12187a1a85
13ca140b3
1482953a5
155633358
hex3ad0ac5

61672133 has 2 divisors, whose sum is σ = 61672134. Its totient is φ = 61672132.

The previous prime is 61672129. The next prime is 61672151. The reversal of 61672133 is 33127616.

61672133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59706529 + 1965604 = 7727^2 + 1402^2 .

It is a cyclic number.

It is not a de Polignac number, because 61672133 - 22 = 61672129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61672096 and 61672105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61672103) 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 as a sum of consecutive naturals, namely, 30836066 + 30836067.

It is an arithmetic number, because the mean of its divisors is an integer number (30836067).

Almost surely, 261672133 is an apocalyptic number.

It is an amenable number.

61672133 is a deficient number, since it is larger than the sum of its proper divisors (1).

61672133 is an equidigital number, since it uses as much as digits as its factorization.

61672133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 29.

The square root of 61672133 is about 7853.1607012718. The cubic root of 61672133 is about 395.0902597773.

Adding to 61672133 its reverse (33127616), we get a palindrome (94799749).

The spelling of 61672133 in words is "sixty-one million, six hundred seventy-two thousand, one hundred thirty-three".