1251828 has 48 divisors (see below), whose sum is σ = 3312960. Its totient is φ = 408672.

The previous prime is 1251827. The next prime is 1251841. The reversal of 1251828 is 8281521.

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 (1251827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7150 + ... + 7322.

It is an arithmetic number, because the mean of its divisors is an integer number (69020).

2^1251828 is an apocalyptic number.

1251828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656480).

1251828 is an abundant number, since it is smaller than the sum of its proper divisors (2061132).

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

1251828 is a wasteful number, since it uses less digits than its factorization.

1251828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 1251828 is about 1118.8511965405. The cubic root of 1251828 is about 107.7742196800.

1251828 divided by its sum of digits (27) gives a palindrome (46364).

It can be divided in two parts, 125 and 1828, that added together give a triangular number (1953 = T₆₂).

The spelling of 1251828 in words is "one million, two hundred fifty-one thousand, eight hundred twenty-eight".