905164 has 24 divisors (see below), whose sum is σ = 1732640. Its totient is φ = 413712.

The previous prime is 905161. The next prime is 905167. The reversal of 905164 is 461509.

It is an interprime number because it is at equal distance from previous prime (905161) and next prime (905167).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8737 + ... + 8839.

2⁹⁰⁵¹⁶⁴ is an apocalyptic number.

It is an amenable number.

905164 is a deficient number, since it is larger than the sum of its proper divisors (827476).

905164 is a wasteful number, since it uses less digits than its factorization.

905164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 905164 is about 951.4010721037. The cubic root of 905164 is about 96.7332451896.

The spelling of 905164 in words is "nine hundred five thousand, one hundred sixty-four".