361989 has 20 divisors (see below), whose sum is σ = 559020. Its totient is φ = 233280.

The previous prime is 361979. The next prime is 361993. The reversal of 361989 is 989163.

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 245025 = 342^2 + 495^2 .

It is not a de Polignac number, because 361989 - 2⁴ = 361973 is a prime.

It is a super-2 number, since 2×361989² = 262072072242, which contains 22 as substring.

Its product of digits (11664) is a multiple of the sum of its prime factors (162).

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361989.

It is not an unprimeable number, because it can be changed into a prime (361909) 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 19 ways as a sum of consecutive naturals, for example, 3267 + ... + 3375.

It is an arithmetic number, because the mean of its divisors is an integer number (27951).

361989 is a Friedman number, since it can be written as 981*369, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 369 ⋅ 981 (with its own digits).

2³⁶¹⁹⁸⁹ is an apocalyptic number.

It is an amenable number.

361989 is a deficient number, since it is larger than the sum of its proper divisors (197031).

361989 is a wasteful number, since it uses less digits than its factorization.

361989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 361989 is about 601.6552168809. The cubic root of 361989 is about 71.2686377835.

It can be divided in two parts, 36 and 1989, that added together give a square (2025 = 45²).

The spelling of 361989 in words is "three hundred sixty-one thousand, nine hundred eighty-nine".