91829054091937 has 2 divisors, whose sum is σ = 91829054091938. Its totient is φ = 91829054091936.

The previous prime is 91829054091913. The next prime is 91829054092031. The reversal of 91829054091937 is 73919045092819.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67446158178721 + 24382895913216 = 8212561^2 + 4937904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-91829054091937 is a prime.

It is not a weakly prime, because it can be changed into another prime (91829054091037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45914527045968 + 45914527045969.

It is an arithmetic number, because the mean of its divisors is an integer number (45914527045969).

Almost surely, 2^{91829054091937} is an apocalyptic number.

It is an amenable number.

91829054091937 is a deficient number, since it is larger than the sum of its proper divisors (1).

91829054091937 is an equidigital number, since it uses as much as digits as its factorization.

91829054091937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 44089920, while the sum is 67.

The spelling of 91829054091937 in words is "ninety-one trillion, eight hundred twenty-nine billion, fifty-four million, ninety-one thousand, nine hundred thirty-seven".