338572 has 24 divisors (see below), whose sum is σ = 677376. Its totient is φ = 146688.

The previous prime is 338567. The next prime is 338573. The reversal of 338572 is 275833.

It is a super-2 number, since 2×338572² = 229261998368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 3³ + 3¹⁰ + 5⁴ + 8⁶ + 7³ + 2¹⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 338572.

It is not an unprimeable number, because it can be changed into a prime (338573) by changing a digit.

338572 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, 693 + ... + 1075.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2³³⁸⁵⁷² is an apocalyptic number.

It is an amenable number.

338572 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a weird number, because it is abundant, but not a pseudoperfect number.

338572 is a wasteful number, since it uses less digits than its factorization.

338572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 338572 is about 581.8694011546. The cubic root of 338572 is about 69.6974699015.

The spelling of 338572 in words is "three hundred thirty-eight thousand, five hundred seventy-two".