1225584 has 40 divisors (see below), whose sum is σ = 3519120. Its totient is φ = 408384.

The previous prime is 1225579. The next prime is 1225589. The reversal of 1225584 is 4855221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1225579) and next prime (1225589).

It is a super-2 number, since 2×1225584² = 3004112282112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 987 + ... + 1850.

It is an arithmetic number, because the mean of its divisors is an integer number (87978).

2^1225584 is an apocalyptic number.

It is an amenable number.

1225584 is an abundant number, since it is smaller than the sum of its proper divisors (2293536).

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

1225584 is a wasteful number, since it uses less digits than its factorization.

1225584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2842 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 1225584 is about 1107.0609739305. The cubic root of 1225584 is about 107.0157486937.

The spelling of 1225584 in words is "one million, two hundred twenty-five thousand, five hundred eighty-four".