1300 has 18 divisors (see below), whose sum is σ = 3038. Its totient is φ = 480.

The previous prime is 1297. The next prime is 1301. The reversal of 1300 is 31.

Added to its reverse (31) it gives a cube (1331 = 11^{3}).

1300 = 1^{5} + 2^{5} + ... + 4^{5}.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4 + 1296 = 2^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

1300 is an undulating number in base 7 and base 8.

It is a plaindrome in base 14.

It is a nialpdrome in base 11.

It is a self number, because there is not a number *n* which added to its sum of digits gives 1300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94 + ... + 106.

1300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519).

1300 is an abundant number, since it is smaller than the sum of its proper divisors (1738).

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

1300 is a wasteful number, since it uses less digits than its factorization.

1300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 4.

The square root of 1300 is about 36.0555127546. The cubic root of 1300 is about 10.9139288306.

Adding to 1300 its reverse (31), we get a palindrome (1331).

The spelling of 1300 in words is "one thousand, three hundred", and thus it is an iban number.

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