91872441 has 16 divisors (see below), whose sum is σ = 136432320. Its totient is φ = 61102080.

The previous prime is 91872433. The next prime is 91872461. The reversal of 91872441 is 14427819.

It is not a de Polignac number, because 91872441 - 2³ = 91872433 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 91872396 and 91872405.

It is not an unprimeable number, because it can be changed into a prime (91872421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8121 + ... + 15801.

It is an arithmetic number, because the mean of its divisors is an integer number (8527020).

Almost surely, 2^91872441 is an apocalyptic number.

It is an amenable number.

91872441 is a deficient number, since it is larger than the sum of its proper divisors (44559879).

91872441 is a wasteful number, since it uses less digits than its factorization.

91872441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8133 (or 8127 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 91872441 is about 9585.0112675990. The cubic root of 91872441 is about 451.2270068573.

It can be divided in two parts, 9187 and 2441, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 91872441 in words is "ninety-one million, eight hundred seventy-two thousand, four hundred forty-one".