91732641 has 48 divisors (see below), whose sum is σ = 165524352. Its totient is φ = 43971840.

The previous prime is 91732637. The next prime is 91732643. The reversal of 91732641 is 14623719.

It is not a de Polignac number, because 91732641 - 2² = 91732637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (91732643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31645 + ... + 34421.

It is an arithmetic number, because the mean of its divisors is an integer number (3448424).

Almost surely, 2^91732641 is an apocalyptic number.

91732641 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

91732641 is a deficient number, since it is larger than the sum of its proper divisors (73791711).

91732641 is a wasteful number, since it uses less digits than its factorization.

91732641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2811 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 91732641 is about 9577.7158550460. The cubic root of 91732641 is about 450.9980170446.

The spelling of 91732641 in words is "ninety-one million, seven hundred thirty-two thousand, six hundred forty-one".