90541677 has 16 divisors (see below), whose sum is σ = 128286720. Its totient is φ = 56801216.

The previous prime is 90541657. The next prime is 90541691. The reversal of 90541677 is 77614509.

It is not a de Polignac number, because 90541677 - 2¹⁵ = 90508909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90541637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11668 + ... + 17810.

It is an arithmetic number, because the mean of its divisors is an integer number (8017920).

Almost surely, 2^90541677 is an apocalyptic number.

It is an amenable number.

90541677 is a deficient number, since it is larger than the sum of its proper divisors (37745043).

90541677 is an equidigital number, since it uses as much as digits as its factorization.

90541677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 90541677 is about 9515.3390375751. The cubic root of 90541677 is about 449.0377413493.

It can be divided in two parts, 9054 and 1677, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 90541677 in words is "ninety million, five hundred forty-one thousand, six hundred seventy-seven".