906525 has 48 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 449280.

The previous prime is 906523. The next prime is 906539. The reversal of 906525 is 525609.

906525 is a `hidden beast` number, since 9 + 0 + 652 + 5 = 666.

It is not a de Polignac number, because 906525 - 2¹ = 906523 is a prime.

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

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 906525.

It is not an unprimeable number, because it can be changed into a prime (906523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11436 + ... + 11514.

It is an arithmetic number, because the mean of its divisors is an integer number (37200).

2⁹⁰⁶⁵²⁵ is an apocalyptic number.

It is an amenable number.

906525 is a deficient number, since it is larger than the sum of its proper divisors (879075).

906525 is a wasteful number, since it uses less digits than its factorization.

906525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

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

The square root of 906525 is about 952.1160643535. The cubic root of 906525 is about 96.7817034495.

It can be divided in two parts, 906 and 525, that added together give a triangular number (1431 = T₅₃).

The spelling of 906525 in words is "nine hundred six thousand, five hundred twenty-five".