905364 has 48 divisors (see below), whose sum is σ = 2399040. Its totient is φ = 295200.

The previous prime is 905347. The next prime is 905381. The reversal of 905364 is 463509.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (905347) and next prime (905381).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8914 + ... + 9014.

It is an arithmetic number, because the mean of its divisors is an integer number (49980).

2⁹⁰⁵³⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199520).

905364 is an abundant number, since it is smaller than the sum of its proper divisors (1493676).

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

905364 is a wasteful number, since it uses less digits than its factorization.

905364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 905364 is about 951.5061744413. The cubic root of 905364 is about 96.7403692114.

The spelling of 905364 in words is "nine hundred five thousand, three hundred sixty-four".