91001952 has 72 divisors (see below), whose sum is σ = 274024296. Its totient is φ = 28548096.

The previous prime is 91001941. The next prime is 91001959. The reversal of 91001952 is 25910019.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91001959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4398 + ... + 14189.

It is an arithmetic number, because the mean of its divisors is an integer number (3805893).

Almost surely, 2^91001952 is an apocalyptic number.

It is an amenable number.

91001952 is an abundant number, since it is smaller than the sum of its proper divisors (183022344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91001952 is a wasteful number, since it uses less digits than its factorization.

91001952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18620 (or 18609 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 91001952 is about 9539.4943262209. The cubic root of 91001952 is about 449.7973606151.

The spelling of 91001952 in words is "ninety-one million, one thousand, nine hundred fifty-two".