738825 has 12 divisors (see below), whose sum is σ = 1221648. Its totient is φ = 394000.

The previous prime is 738811. The next prime is 738827. The reversal of 738825 is 528837.

It is not a de Polignac number, because 738825 - 2⁹ = 738313 is a prime.

It is an Ulam number.

738825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (738827) 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, 4851 + ... + 5000.

It is an arithmetic number, because the mean of its divisors is an integer number (101804).

2⁷³⁸⁸²⁵ is an apocalyptic number.

738825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

738825 is a deficient number, since it is larger than the sum of its proper divisors (482823).

738825 is a wasteful number, since it uses less digits than its factorization.

738825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9864 (or 9859 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 738825 is about 859.5493005058. The cubic root of 738825 is about 90.4025180728.

The spelling of 738825 in words is "seven hundred thirty-eight thousand, eight hundred twenty-five".