361312 has 24 divisors (see below), whose sum is σ = 813456. Its totient is φ = 154752.

The previous prime is 361279. The next prime is 361313. The reversal of 361312 is 213163.

361312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×361312² = 261092722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361313) by changing a digit.

361312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 583 + ... + 1030.

It is an arithmetic number, because the mean of its divisors is an integer number (33894).

2³⁶¹³¹² is an apocalyptic number.

361312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

361312 is an abundant number, since it is smaller than the sum of its proper divisors (452144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

361312 is a wasteful number, since it uses less digits than its factorization.

361312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1622 counting only the distinct ones).

The product of its digits is 108, while the sum is 16.

The square root of 361312 is about 601.0923389963. The cubic root of 361312 is about 71.2241806520.

Adding to 361312 its reverse (213163), we get a palindrome (574475).

The spelling of 361312 in words is "three hundred sixty-one thousand, three hundred twelve".