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33401 = 127263

33401 has 4 divisors (see below), whose sum is σ = 33792. Its totient is φ = 33012.

The previous prime is 33391. The next prime is 33403. The reversal of 33401 is 10433.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 33401 - 210 = 32377 is a prime.

It is a super-2 number, since 2×334012 = 2231253602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 258.

It is an arithmetic number, because the mean of its divisors is an integer number (8448).

233401 is an apocalyptic number.

It is an amenable number.

33401 is a deficient number, since it is larger than the sum of its proper divisors (391).

33401 is a wasteful number, since it uses less digits than its factorization.

33401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 33401 is about 182.7594046828. The cubic root of 33401 is about 32.2047419170.

Adding to 33401 its reverse (10433), we get a palindrome (43834).

It can be divided in two parts, 33 and 401, that added together give a palindrome (434).

The spelling of 33401 in words is "thirty-three thousand, four hundred one".

Divisors: 1 127 263 33401