613089 has 21 divisors (see below), whose sum is σ = 952003. Its totient is φ = 394632.

The previous prime is 613061. The next prime is 613097. The reversal of 613089 is 980316.

The square root of 613089 is 783.

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

613089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 321489 + 291600 = 567^2 + 540^2 .

It is not a de Polignac number, because 613089 - 2¹⁷ = 482017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (613009) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 21127 + ... + 21155.

2⁶¹³⁰⁸⁹ is an apocalyptic number.

613089 is the 783-rd square number.

613089 is the 392-nd centered octagonal number.

It is an amenable number.

613089 is a deficient number, since it is larger than the sum of its proper divisors (338914).

613089 is an frugal number, since it uses more digits than its factorization.

613089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 613089 is about 84.9521760965.

Multiplying 613089 by its product of nonzero digits (1296), we get a square (794563344 = 28188²).

The spelling of 613089 in words is "six hundred thirteen thousand, eighty-nine".