1038325 has 12 divisors (see below), whose sum is σ = 1320228. Its totient is φ = 809600.

The previous prime is 1038319. The next prime is 1038329. The reversal of 1038325 is 5238301.

It can be written as a sum of positive squares in 6 ways, for example, as 528529 + 509796 = 727^2 + 714^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1038325 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1038296 and 1038305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038329) 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, 519 + ... + 1531.

It is an arithmetic number, because the mean of its divisors is an integer number (110019).

2^1038325 is an apocalyptic number.

It is an amenable number.

1038325 is a deficient number, since it is larger than the sum of its proper divisors (281903).

1038325 is a wasteful number, since it uses less digits than its factorization.

1038325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1038325 is about 1018.9823354701. The cubic root of 1038325 is about 101.2615187830.

It can be divided in two parts, 10 and 38325, that multiplied together give a triangular number (383250 = T₈₇₅).

The spelling of 1038325 in words is "one million, thirty-eight thousand, three hundred twenty-five".