1023825 has 48 divisors (see below), whose sum is σ = 1982016. Its totient is φ = 460800.

The previous prime is 1023821. The next prime is 1023833. The reversal of 1023825 is 5283201.

It is not a de Polignac number, because 1023825 - 2² = 1023821 is a prime.

It is a Curzon number.

1023825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1023821) 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 47 ways as a sum of consecutive naturals, for example, 13989 + ... + 14061.

It is an arithmetic number, because the mean of its divisors is an integer number (41292).

2^1023825 is an apocalyptic number.

1023825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1023825 is a deficient number, since it is larger than the sum of its proper divisors (958191).

1023825 is a wasteful number, since it uses less digits than its factorization.

1023825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1023825 is about 1011.8423790295. The cubic root of 1023825 is about 100.7879418368.

The spelling of 1023825 in words is "one million, twenty-three thousand, eight hundred twenty-five".