906591 has 16 divisors (see below), whose sum is σ = 1442304. Its totient is φ = 495264.

The previous prime is 906589. The next prime is 906601. The reversal of 906591 is 195609.

It is not a de Polignac number, because 906591 - 2¹ = 906589 is a prime.

906591 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906541) 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, 456 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (90144).

2⁹⁰⁶⁵⁹¹ is an apocalyptic number.

906591 is a deficient number, since it is larger than the sum of its proper divisors (535713).

906591 is a wasteful number, since it uses less digits than its factorization.

906591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 906591 is about 952.1507233626. The cubic root of 906591 is about 96.7840521390.

The spelling of 906591 in words is "nine hundred six thousand, five hundred ninety-one".