312820 has 12 divisors (see below), whose sum is σ = 656964. Its totient is φ = 125120.

The previous prime is 312799. The next prime is 312839. The reversal of 312820 is 28213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 70756 = 492^2 + 266^2 .

It is a sliding number, since 312820 = 320 + 312500 and 1/320 + 1/312500 = 0.00312820.

It is a junction number, because it is equal to n+sod(n) for n = 312794 and 312803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7801 + ... + 7840.

It is an arithmetic number, because the mean of its divisors is an integer number (54747).

2³¹²⁸²⁰ is an apocalyptic number.

It is an amenable number.

312820 is an abundant number, since it is smaller than the sum of its proper divisors (344144).

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

312820 is a wasteful number, since it uses less digits than its factorization.

312820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15650 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 312820 is about 559.3031378421. The cubic root of 312820 is about 67.8835955434.

The spelling of 312820 in words is "three hundred twelve thousand, eight hundred twenty".