735641 has 8 divisors (see below), whose sum is σ = 788040. Its totient is φ = 684288.

The previous prime is 735617. The next prime is 735649. The reversal of 735641 is 146537.

It can be written as a sum of positive squares in 4 ways, for example, as 326041 + 409600 = 571^2 + 640^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 735641 - 2¹⁸ = 473497 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 735641.

It is not an unprimeable number, because it can be changed into a prime (735649) 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 7 ways as a sum of consecutive naturals, for example, 1655 + ... + 2051.

It is an arithmetic number, because the mean of its divisors is an integer number (98505).

2⁷³⁵⁶⁴¹ is an apocalyptic number.

It is an amenable number.

735641 is a deficient number, since it is larger than the sum of its proper divisors (52399).

735641 is a wasteful number, since it uses less digits than its factorization.

735641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523.

The product of its digits is 2520, while the sum is 26.

The square root of 735641 is about 857.6951672943. The cubic root of 735641 is about 90.2724664822.

The spelling of 735641 in words is "seven hundred thirty-five thousand, six hundred forty-one".