1253844 has 36 divisors (see below), whose sum is σ = 3281460. Its totient is φ = 403200.

The previous prime is 1253839. The next prime is 1253849. The reversal of 1253844 is 4483521.

It is an interprime number because it is at equal distance from previous prime (1253839) and next prime (1253849).

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 1040400 = 462^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444 + ... + 1644.

2^1253844 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 1253844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640730).

1253844 is an abundant number, since it is smaller than the sum of its proper divisors (2027616).

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

1253844 is a wasteful number, since it uses less digits than its factorization.

1253844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1235 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 1253844 is about 1119.7517582036. The cubic root of 1253844 is about 107.8320434640.

It can be divided in two parts, 125 and 3844, that added together give a square (3969 = 63²).

The spelling of 1253844 in words is "one million, two hundred fifty-three thousand, eight hundred forty-four".