Search a number
-
+
91137461 is a prime number
BaseRepresentation
bin1010110111010…
…10010110110101
320100111021002112
411123222112311
5141312344321
613013220405
72154440612
oct533522665
9210437075
1091137461
1147498a18
1226631705
1315b5c8bc
14c165509
158003a5b
hex56ea5b5

91137461 has 2 divisors, whose sum is σ = 91137462. Its totient is φ = 91137460.

The previous prime is 91137439. The next prime is 91137463. The reversal of 91137461 is 16473119.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68574961 + 22562500 = 8281^2 + 4750^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-91137461 is a prime.

Together with 91137463, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p5279153 and since 91137461 and 5279153 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91137463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45568730 + 45568731.

It is an arithmetic number, because the mean of its divisors is an integer number (45568731).

Almost surely, 291137461 is an apocalyptic number.

It is an amenable number.

91137461 is a deficient number, since it is larger than the sum of its proper divisors (1).

91137461 is an equidigital number, since it uses as much as digits as its factorization.

91137461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536, while the sum is 32.

The square root of 91137461 is about 9546.5942094550. The cubic root of 91137461 is about 450.0205109993.

The spelling of 91137461 in words is "ninety-one million, one hundred thirty-seven thousand, four hundred sixty-one".