1305972 has 18 divisors (see below), whose sum is σ = 3301298. Its totient is φ = 435312.

The previous prime is 1305971. The next prime is 1306001. The reversal of 1305972 is 2795031.

1305972 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 1245456 + 60516 = 1116^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18103 + ... + 18174.

2^1305972 is an apocalyptic number.

1305972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1305972 is an abundant number, since it is smaller than the sum of its proper divisors (1995326).

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

1305972 is a wasteful number, since it uses less digits than its factorization.

1305972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36287 (or 36282 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1305972 is about 1142.7913195330. The cubic root of 1305972 is about 109.3061560780.

It can be divided in two parts, 13059 and 72, that added together give a palindrome (13131).

The spelling of 1305972 in words is "one million, three hundred five thousand, nine hundred seventy-two".