91516971 has 32 divisors (see below), whose sum is σ = 150857728. Its totient is φ = 48055680.

The previous prime is 91516969. The next prime is 91516973. The reversal of 91516971 is 17961519.

It is an interprime number because it is at equal distance from previous prime (91516969) and next prime (91516973).

It is not a de Polignac number, because 91516971 - 2¹ = 91516969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (91516973) 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 in 31 ways as a sum of consecutive naturals, for example, 73365 + ... + 74601.

It is an arithmetic number, because the mean of its divisors is an integer number (4714304).

Almost surely, 2^91516971 is an apocalyptic number.

91516971 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

91516971 is a deficient number, since it is larger than the sum of its proper divisors (59340757).

91516971 is a wasteful number, since it uses less digits than its factorization.

91516971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531.

The product of its digits is 17010, while the sum is 39.

The square root of 91516971 is about 9566.4502821057. The cubic root of 91516971 is about 450.6442968275.

The spelling of 91516971 in words is "ninety-one million, five hundred sixteen thousand, nine hundred seventy-one".