738205 has 16 divisors (see below), whose sum is σ = 980784. Its totient is φ = 529920.

The previous prime is 738197. The next prime is 738211. The reversal of 738205 is 502837.

It can be written as a sum of positive squares in 8 ways, for example, as 326041 + 412164 = 571^2 + 642^2 .

It is not a de Polignac number, because 738205 - 2³ = 738197 is a prime.

It is a super-3 number, since 3×738205³ = 1206846963335895375, which contains 333 as substring.

It is a Duffinian number.

738205 is a lucky number.

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 738205.

It is a congruent number.

It is an unprimeable number.

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, 2527 + ... + 2803.

It is an arithmetic number, because the mean of its divisors is an integer number (61299).

2⁷³⁸²⁰⁵ is an apocalyptic number.

It is an amenable number.

738205 is a deficient number, since it is larger than the sum of its proper divisors (242579).

738205 is a wasteful number, since it uses less digits than its factorization.

738205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 738205 is about 859.1885706875. The cubic root of 738205 is about 90.3772232930.

It can be divided in two parts, 73 and 8205, that multiplied together give a triangular number (598965 = T₁₀₉₄).

The spelling of 738205 in words is "seven hundred thirty-eight thousand, two hundred five".