361089 has 12 divisors (see below), whose sum is σ = 532116. Its totient is φ = 235872.

The previous prime is 361069. The next prime is 361091. The reversal of 361089 is 980163.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 119025 = 492^2 + 345^2 .

It is not a de Polignac number, because 361089 - 2¹¹ = 359041 is a prime.

361089 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (361069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (44343).

2³⁶¹⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

361089 is a deficient number, since it is larger than the sum of its proper divisors (171027).

361089 is a wasteful number, since it uses less digits than its factorization.

361089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 813 counting only the distinct ones).

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

The square root of 361089 is about 600.9068147392. The cubic root of 361089 is about 71.2095245643.

It can be divided in two parts, 36 and 1089, that multiplied together give a square (39204 = 198²).

The spelling of 361089 in words is "three hundred sixty-one thousand, eighty-nine".