737361 has 6 divisors (see below), whose sum is σ = 1065090. Its totient is φ = 491568.

The previous prime is 737353. The next prime is 737411. The reversal of 737361 is 163737.

It can be written as a sum of positive squares in only one way, i.e., 540225 + 197136 = 735^2 + 444^2 .

It is not a de Polignac number, because 737361 - 2³ = 737353 is a prime.

737361 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 737361.

It is not an unprimeable number, because it can be changed into a prime (737351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40956 + ... + 40973.

It is an arithmetic number, because the mean of its divisors is an integer number (177515).

2⁷³⁷³⁶¹ is an apocalyptic number.

It is an amenable number.

737361 is a deficient number, since it is larger than the sum of its proper divisors (327729).

737361 is a wasteful number, since it uses less digits than its factorization.

737361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81935 (or 81932 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 737361 is about 858.6972691234. The cubic root of 737361 is about 90.3427669812.

It can be divided in two parts, 73736 and 1, that added together give a palindrome (73737).

The spelling of 737361 in words is "seven hundred thirty-seven thousand, three hundred sixty-one".