138963 has 8 divisors (see below), whose sum is σ = 202176. Its totient is φ = 84200.

The previous prime is 138959. The next prime is 138967. The reversal of 138963 is 369831.

It is an interprime number because it is at equal distance from previous prime (138959) and next prime (138967).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138963 - 2² = 138959 is a prime.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 138963.

It is not an unprimeable number, because it can be changed into a prime (138967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2073 + ... + 2138.

It is an arithmetic number, because the mean of its divisors is an integer number (25272).

2¹³⁸⁹⁶³ is an apocalyptic number.

138963 is a deficient number, since it is larger than the sum of its proper divisors (63213).

138963 is a wasteful number, since it uses less digits than its factorization.

138963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225.

The product of its digits is 3888, while the sum is 30.

The square root of 138963 is about 372.7774134789. Note that the first 3 decimals coincide. The cubic root of 138963 is about 51.7964180128.

The spelling of 138963 in words is "one hundred thirty-eight thousand, nine hundred sixty-three".