312642 has 24 divisors (see below), whose sum is σ = 739440. Its totient is φ = 94680.

The previous prime is 312623. The next prime is 312643. The reversal of 312642 is 246213.

It is a happy number.

312642 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (312643) 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 11 ways as a sum of consecutive naturals, for example, 592 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (30810).

2³¹²⁶⁴² is an apocalyptic number.

312642 is an abundant number, since it is smaller than the sum of its proper divisors (426798).

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

312642 is a wasteful number, since it uses less digits than its factorization.

312642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1595 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 312642 is about 559.1439886112. The cubic root of 312642 is about 67.8707174531.

Adding to 312642 its reverse (246213), we get a palindrome (558855).

The spelling of 312642 in words is "three hundred twelve thousand, six hundred forty-two".