238964 has 12 divisors (see below), whose sum is σ = 456288. Its totient is φ = 108600.

The previous prime is 238949. The next prime is 238967. The reversal of 238964 is 469832.

238964 = 2² + 3² + ... + 89².

It is a d-powerful number, because it can be written as 2¹⁵ + 3⁷ + 9⁵ + 8⁵ + 6⁶ + 4⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 238964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238967) by changing a digit.

238964 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 3 ways as a sum of consecutive naturals, for example, 2672 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (38024).

2²³⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

238964 is a deficient number, since it is larger than the sum of its proper divisors (217324).

238964 is a wasteful number, since it uses less digits than its factorization.

238964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446 (or 5444 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 238964 is about 488.8394419439. The cubic root of 238964 is about 62.0551018987.

The spelling of 238964 in words is "two hundred thirty-eight thousand, nine hundred sixty-four".