312541 has 4 divisors (see below), whose sum is σ = 318492. Its totient is φ = 306592.

The previous prime is 312527. The next prime is 312551. The reversal of 312541 is 145213.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 260100 + 52441 = 510^2 + 229^2 .

It is a cyclic number.

It is not a de Polignac number, because 312541 - 2⁵ = 312509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312551) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2896 + ... + 3001.

It is an arithmetic number, because the mean of its divisors is an integer number (79623).

2³¹²⁵⁴¹ is an apocalyptic number.

It is an amenable number.

312541 is a deficient number, since it is larger than the sum of its proper divisors (5951).

312541 is an equidigital number, since it uses as much as digits as its factorization.

312541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950.

The product of its digits is 120, while the sum is 16.

The square root of 312541 is about 559.0536646870. The cubic root of 312541 is about 67.8634080484.

Adding to 312541 its reverse (145213), we get a palindrome (457754).

It can be divided in two parts, 3 and 12541, that added together give a square (12544 = 112²).

The spelling of 312541 in words is "three hundred twelve thousand, five hundred forty-one".