91506829 has 2 divisors, whose sum is σ = 91506830. Its totient is φ = 91506828.

The previous prime is 91506787. The next prime is 91506841. The reversal of 91506829 is 92860519.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48302500 + 43204329 = 6950^2 + 6573^2 .

It is a cyclic number.

It is not a de Polignac number, because 91506829 - 2¹³ = 91498637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 91506791 and 91506800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91506889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45753414 + 45753415.

It is an arithmetic number, because the mean of its divisors is an integer number (45753415).

Almost surely, 2^91506829 is an apocalyptic number.

It is an amenable number.

91506829 is a deficient number, since it is larger than the sum of its proper divisors (1).

91506829 is an equidigital number, since it uses as much as digits as its factorization.

91506829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 91506829 is about 9565.9201857427. The cubic root of 91506829 is about 450.6276492656.

The spelling of 91506829 in words is "ninety-one million, five hundred six thousand, eight hundred twenty-nine".