906255 has 48 divisors (see below), whose sum is σ = 1887840. Its totient is φ = 411264.

The previous prime is 906233. The next prime is 906259. The reversal of 906255 is 552609.

It is not a de Polignac number, because 906255 - 2⁸ = 905999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

906255 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906255.

It is not an unprimeable number, because it can be changed into a prime (906259) 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 47 ways as a sum of consecutive naturals, for example, 6547 + ... + 6683.

It is an arithmetic number, because the mean of its divisors is an integer number (39330).

2⁹⁰⁶²⁵⁵ is an apocalyptic number.

906255 is an abundant number, since it is smaller than the sum of its proper divisors (981585).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

906255 is a wasteful number, since it uses less digits than its factorization.

906255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 906255 is about 951.9742643580. The cubic root of 906255 is about 96.7720939867.

The spelling of 906255 in words is "nine hundred six thousand, two hundred fifty-five".