361269 has 12 divisors (see below), whose sum is σ = 527436. Its totient is φ = 238272.

The previous prime is 361241. The next prime is 361271. The reversal of 361269 is 962163.

It is a happy number.

361269 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 288369 + 72900 = 537^2 + 270^2 .

It is not a de Polignac number, because 361269 - 2⁵ = 361237 is a prime.

It is a super-2 number, since 2×361269² = 261030580722, which contains 22 as substring.

It is a Curzon number.

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 361269.

It is not an unprimeable number, because it can be changed into a prime (361219) 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, 1087 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (43953).

2³⁶¹²⁶⁹ is an apocalyptic number.

It is an amenable number.

361269 is a deficient number, since it is larger than the sum of its proper divisors (166167).

361269 is a wasteful number, since it uses less digits than its factorization.

361269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 433 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 361269 is about 601.0565697170. The cubic root of 361269 is about 71.2213550596.

It can be divided in two parts, 361 and 269, that added together give a triangular number (630 = T₃₅).

The spelling of 361269 in words is "three hundred sixty-one thousand, two hundred sixty-nine".