30889 has 8 divisors (see below), whose sum is σ = 34560. Its totient is φ = 27456.

The previous prime is 30881. The next prime is 30893. The reversal of 30889 is 98803.

30889 = T₁₄₂ + T₁₄₃ + T₁₄₄.

30889 = 12² + 13² + ... + 45².

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

It is a 2-Lehmer number, since φ(30889) divides (30889-1)².

It is a cyclic number.

It is not a de Polignac number, because 30889 - 2³ = 30881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30881) 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, 352 + ... + 430.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

It is a Poulet number, since it divides 2³⁰⁸⁸⁸-1.

2³⁰⁸⁸⁹ is an apocalyptic number.

30889 is the 144-th centered triangular number.

It is an amenable number.

30889 is a deficient number, since it is larger than the sum of its proper divisors (3671).

30889 is a wasteful number, since it uses less digits than its factorization.

30889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 30889 is about 175.7526671206. The cubic root of 30889 is about 31.3762677858.

Subtracting from 30889 its product of nonzero digits (1728), we obtain a triangular number (29161 = T₂₄₁).

It can be divided in two parts, 30 and 889, that added together give a palindrome (919).

The spelling of 30889 in words is "thirty thousand, eight hundred eighty-nine".