30401 has 8 divisors (see below), whose sum is σ = 35904. Its totient is φ = 25200.

The previous prime is 30391. The next prime is 30403. The reversal of 30401 is 10403.

Added to its reverse (10403) it gives a square (40804 = 202²).

30401 = T₁₄ + T₁₅ + ... + T₅₆.

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

It is a de Polignac number, because none of the positive numbers 2^k-30401 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (30403) 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, 251 + ... + 351.

It is an arithmetic number, because the mean of its divisors is an integer number (4488).

2³⁰⁴⁰¹ is an apocalyptic number.

30401 is the 101-st octagonal number.

It is an amenable number.

30401 is a deficient number, since it is larger than the sum of its proper divisors (5503).

30401 is a wasteful number, since it uses less digits than its factorization.

30401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151.

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 30401 is about 174.3588254147. The cubic root of 30401 is about 31.2101572233.

Adding to 30401 its reverse (10403), we get a palindrome (40804).

The spelling of 30401 in words is "thirty thousand, four hundred one".