338712 has 32 divisors (see below), whose sum is σ = 924480. Its totient is φ = 102560.

The previous prime is 338707. The next prime is 338717. The reversal of 338712 is 217833.

It is an interprime number because it is at equal distance from previous prime (338707) and next prime (338717).

It is a super-2 number, since 2×338712² = 229451637888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338717) by changing a digit.

338712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (28890).

2³³⁸⁷¹² is an apocalyptic number.

It is an amenable number.

338712 is an abundant number, since it is smaller than the sum of its proper divisors (585768).

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

338712 is a wasteful number, since it uses less digits than its factorization.

338712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1299 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 338712 is about 581.9896906303. The cubic root of 338712 is about 69.7070752451.

It can be divided in two parts, 33 and 8712, that multiplied together give a cube (287496 = 66³).

The spelling of 338712 in words is "three hundred thirty-eight thousand, seven hundred twelve".