3254 has 4 divisors (see below), whose sum is σ = 4884. Its totient is φ = 1626.

The previous prime is 3253. The next prime is 3257. The reversal of 3254 is 4523.

3254 = 27^{2} + 28^{2} + ... + 30^{2}.

3254 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes.

It is a d-powerful number, because it can be written as **3**^{4} + **5**^{5} + **2**^{5} + **4**^{2} .

It is an alternating number because its digits alternate between odd and even.

3254 is an undulating number in base 15.

It is a plaindrome in base 11.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3254.

It is not an unprimeable number, because it can be changed into a prime (3251) 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 as a sum of consecutive naturals, namely, 812 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (1221).

2^{3254} is an apocalyptic number.

3254 is a deficient number, since it is larger than the sum of its proper divisors (1630).

3254 is a wasteful number, since it uses less digits than its factorization.

3254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629.

The product of its digits is 120, while the sum is 14.

The square root of 3254 is about 57.0438427878. The cubic root of 3254 is about 14.8185547657.

Subtracting from 3254 its sum of digits (14), we obtain a triangular number (3240 = T_{80}).

Adding to 3254 its reverse (4523), we get a palindrome (7777).

It can be divided in two parts, 32 and 54, that multiplied together give a cube (1728 = 12^{3}).

The spelling of 3254 in words is "three thousand, two hundred fifty-four".

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