312361 has 4 divisors (see below), whose sum is σ = 356992. Its totient is φ = 267732.

The previous prime is 312353. The next prime is 312371. The reversal of 312361 is 163213.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 163213 = 227 ⋅719.

It is a cyclic number.

It is not a de Polignac number, because 312361 - 2³ = 312353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312311) 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 3 ways as a sum of consecutive naturals, for example, 22305 + ... + 22318.

It is an arithmetic number, because the mean of its divisors is an integer number (89248).

2³¹²³⁶¹ is an apocalyptic number.

It is an amenable number.

312361 is a deficient number, since it is larger than the sum of its proper divisors (44631).

312361 is an equidigital number, since it uses as much as digits as its factorization.

312361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44630.

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

The square root of 312361 is about 558.8926551673. The cubic root of 312361 is about 67.8503774814.

Adding to 312361 its reverse (163213), we get a palindrome (475574).

The spelling of 312361 in words is "three hundred twelve thousand, three hundred sixty-one".