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761412961 is a prime number
BaseRepresentation
bin101101011000100…
…011110101100001
31222001201210020001
4231120203311201
53024410203321
6203315420001
724603621601
oct5530436541
91861653201
10761412961
11360885911
12192bb4601
13c199251a
14731a2c01
1546ca3c91
hex2d623d61

761412961 has 2 divisors, whose sum is σ = 761412962. Its totient is φ = 761412960.

The previous prime is 761412959. The next prime is 761412989. The reversal of 761412961 is 169214167.

761412961 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., 736851025 + 24561936 = 27145^2 + 4956^2 .

It is a cyclic number.

It is not a de Polignac number, because 761412961 - 21 = 761412959 is a prime.

Together with 761412959, it forms a pair of twin primes.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 761412961.

It is not a weakly prime, because it can be changed into another prime (761412901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 380706480 + 380706481.

It is an arithmetic number, because the mean of its divisors is an integer number (380706481).

Almost surely, 2761412961 is an apocalyptic number.

It is an amenable number.

761412961 is a deficient number, since it is larger than the sum of its proper divisors (1).

761412961 is an equidigital number, since it uses as much as digits as its factorization.

761412961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 37.

The square root of 761412961 is about 27593.7123453877. The cubic root of 761412961 is about 913.1457211242.

The spelling of 761412961 in words is "seven hundred sixty-one million, four hundred twelve thousand, nine hundred sixty-one".