90601 has 9 divisors (see below), whose sum is σ = 107901. Its totient is φ = 75852.

The previous prime is 90599. The next prime is 90617. The reversal of 90601 is 10609.

90601 = T₃₀₀ + T₃₀₁.

The square root of 90601 is 301.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 90601 - 2¹ = 90599 is a prime.

It is a Duffinian number.

90601 is a Rhonda number in base 6.

90601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (90631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2086 + ... + 2128.

It is an arithmetic number, because the mean of its divisors is an integer number (11989).

2⁹⁰⁶⁰¹ is an apocalyptic number.

90601 is the 301-st square number.

90601 is the 151-st centered octagonal number.

It is an amenable number.

90601 is a deficient number, since it is larger than the sum of its proper divisors (17300).

90601 is an equidigital number, since it uses as much as digits as its factorization.

90601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 90601 is about 44.9135789935.

Multiplying 90601 by its sum of digits (16), we get a square (1449616 = 1204²).

Multiplying 90601 by its reverse (10609), we get a square (961186009 = 31003²).

The spelling of 90601 in words is "ninety thousand, six hundred one".