1038357 has 12 divisors (see below), whose sum is σ = 1514604. Its totient is φ = 685440.

The previous prime is 1038337. The next prime is 1038383. The reversal of 1038357 is 7538301.

It can be written as a sum of positive squares in 2 ways, for example, as 239121 + 799236 = 489^2 + 894^2 .

It is not a de Polignac number, because 1038357 - 2¹⁴ = 1021973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1038357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038307) 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 11 ways as a sum of consecutive naturals, for example, 507 + ... + 1527.

It is an arithmetic number, because the mean of its divisors is an integer number (126217).

2^1038357 is an apocalyptic number.

It is an amenable number.

1038357 is a deficient number, since it is larger than the sum of its proper divisors (476247).

1038357 is a wasteful number, since it uses less digits than its factorization.

1038357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1038357 is about 1018.9980372896. The cubic root of 1038357 is about 101.2625590274.

It can be divided in two parts, 10383 and 57, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 1038357 in words is "one million, thirty-eight thousand, three hundred fifty-seven".