1254 has 16 divisors (see below), whose sum is σ = 2880. Its totient is φ = 360.

The previous prime is 1249. The next prime is 1259. The reversal of 1254 is 4521.

1254 = T_{12} + T_{13} + ... +
T_{20}.

It is an interprime number because it is at equal distance from previous prime (1249) and next prime (1259).

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

1254 is a modest number, since divided by 54 gives 12 as remainder.

It is a plaindrome in base 8 and base 15.

It is a nialpdrome in base 11 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1259) by changing a digit.

1254 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 75.

It is an arithmetic number, because the mean of its divisors is an integer number (180).

It is a practical number, because each smaller number is the sum of distinct divisors of 1254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440).

1254 is an abundant number, since it is smaller than the sum of its proper divisors (1626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1254 is a wasteful number, since it uses less digits than its factorization.

1254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35.

The product of its digits is 40, while the sum is 12.

The square root of 1254 is about 35.4118624193. The cubic root of 1254 is about 10.7836515339.

Adding to 1254 its reverse (4521), we get a palindrome (5775).

It can be divided in two parts, 12 and 54, that added together give a palindrome (66).

The spelling of 1254 in words is "one thousand, two hundred fifty-four".

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