361153 has 6 divisors (see below), whose sum is σ = 391254. Its totient is φ = 333216.

The previous prime is 361111. The next prime is 361159. The reversal of 361153 is 351163.

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 332929 = 168^2 + 577^2 .

It is not a de Polignac number, because 361153 - 2¹⁷ = 230081 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 361153.

It is not an unprimeable number, because it can be changed into a prime (361159) 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 5 ways as a sum of consecutive naturals, for example, 900 + ... + 1237.

It is an arithmetic number, because the mean of its divisors is an integer number (65209).

2³⁶¹¹⁵³ is an apocalyptic number.

It is an amenable number.

361153 is a deficient number, since it is larger than the sum of its proper divisors (30101).

361153 is a wasteful number, since it uses less digits than its factorization.

361153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2150 counting only the distinct ones).

The product of its digits is 270, while the sum is 19.

The square root of 361153 is about 600.9600652290. The cubic root of 361153 is about 71.2137314130.

It can be divided in two parts, 36115 and 3, that multiplied together give a triangular number (108345 = T₄₆₅).

The spelling of 361153 in words is "three hundred sixty-one thousand, one hundred fifty-three".