758641 has 9 divisors (see below), whose sum is σ = 833931. Its totient is φ = 689832.

The previous prime is 758633. The next prime is 758671. The reversal of 758641 is 146857.

The square root of 758641 is 871.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 112225 + 646416 = 335^2 + 804^2 .

It is not a de Polignac number, because 758641 - 2³ = 758633 is a prime.

It is a Duffinian number.

Its product of digits (6720) is a multiple of the sum of its prime divisors (80).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (758671) 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 8 ways as a sum of consecutive naturals, for example, 11290 + ... + 11356.

It is an arithmetic number, because the mean of its divisors is an integer number (92659).

758641 is a Friedman number, since it can be written as 871^((6+4)/5), using all its digits and the basic arithmetic operations.

2⁷⁵⁸⁶⁴¹ is an apocalyptic number.

758641 is the 871-st square number.

758641 is the 436-th centered octagonal number.

It is an amenable number.

758641 is a deficient number, since it is larger than the sum of its proper divisors (75290).

758641 is an equidigital number, since it uses as much as digits as its factorization.

758641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 80 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The cubic root of 758641 is about 91.2036256510.

The spelling of 758641 in words is "seven hundred fifty-eight thousand, six hundred forty-one".