338970 has 16 divisors (see below), whose sum is σ = 813600. Its totient is φ = 90384.

The previous prime is 338959. The next prime is 338993. The reversal of 338970 is 79833.

It is a super-2 number, since 2×338970² = 229801321800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 11299 = 338970 / (3 + 3 + 8 + 9 + 7 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5620 + ... + 5679.

It is an arithmetic number, because the mean of its divisors is an integer number (50850).

2³³⁸⁹⁷⁰ is an apocalyptic number.

338970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

338970 is an abundant number, since it is smaller than the sum of its proper divisors (474630).

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

338970 is a wasteful number, since it uses less digits than its factorization.

338970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11309.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 338970 is about 582.2113018484. The cubic root of 338970 is about 69.7247695902.

The spelling of 338970 in words is "three hundred thirty-eight thousand, nine hundred seventy".