90735643 has 8 divisors (see below), whose sum is σ = 91869120. Its totient is φ = 89606400.

The previous prime is 90735599. The next prime is 90735661. The reversal of 90735643 is 34653709.

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

It is a cyclic number.

It is not a de Polignac number, because 90735643 - 2¹⁷ = 90604571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90735143) 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 7 ways as a sum of consecutive naturals, for example, 69093 + ... + 70393.

It is an arithmetic number, because the mean of its divisors is an integer number (11483640).

Almost surely, 2^90735643 is an apocalyptic number.

90735643 is a deficient number, since it is larger than the sum of its proper divisors (1133477).

90735643 is a wasteful number, since it uses less digits than its factorization.

90735643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117.

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 90735643 is about 9525.5258647489. The cubic root of 90735643 is about 449.3581681224.

It can be divided in two parts, 90735 and 643, that added together give a triangular number (91378 = T₄₂₇).

The spelling of 90735643 in words is "ninety million, seven hundred thirty-five thousand, six hundred forty-three".