737225 has 12 divisors (see below), whose sum is σ = 940044. Its totient is φ = 573120.

The previous prime is 737207. The next prime is 737251. The reversal of 737225 is 522737.

737225 = 61² + 62² + ... + 134².

It can be written as a sum of positive squares in 6 ways, for example, as 4489 + 732736 = 67^2 + 856^2 .

It is not a de Polignac number, because 737225 - 2¹⁸ = 475081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 737194 and 737203.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 527 + ... + 1323.

It is an arithmetic number, because the mean of its divisors is an integer number (78337).

2⁷³⁷²²⁵ is an apocalyptic number.

It is an amenable number.

737225 is a deficient number, since it is larger than the sum of its proper divisors (202819).

737225 is a wasteful number, since it uses less digits than its factorization.

737225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 839 counting only the distinct ones).

The product of its digits is 2940, while the sum is 26.

The square root of 737225 is about 858.6180757473. The cubic root of 737225 is about 90.3372123199.

The spelling of 737225 in words is "seven hundred thirty-seven thousand, two hundred twenty-five".