91005963 has 8 divisors (see below), whose sum is σ = 126617088. Its totient is φ = 58032744.

The previous prime is 91005919. The next prime is 91006001. The reversal of 91005963 is 36950019.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 91005963 - 2¹⁶ = 90940427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (91005263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659395 + ... + 659532.

It is an arithmetic number, because the mean of its divisors is an integer number (15827136).

Almost surely, 2^91005963 is an apocalyptic number.

91005963 is a deficient number, since it is larger than the sum of its proper divisors (35611125).

91005963 is a wasteful number, since it uses less digits than its factorization.

91005963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318953.

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 91005963 is about 9539.7045551736. The cubic root of 91005963 is about 449.8039689374.

The spelling of 91005963 in words is "ninety-one million, five thousand, nine hundred sixty-three".