13142205 has 36 divisors (see below), whose sum is σ = 24071580. Its totient is φ = 6632064.

The previous prime is 13142197. The next prime is 13142231. The reversal of 13142205 is 50224131.

It can be written as a sum of positive squares in 2 ways, for example, as 8450649 + 4691556 = 2907^2 + 2166^2 .

It is not a de Polignac number, because 13142205 - 2³ = 13142197 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15841 + ... + 16649.

It is an arithmetic number, because the mean of its divisors is an integer number (668655).

Almost surely, 2^13142205 is an apocalyptic number.

13142205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13142205 is a deficient number, since it is larger than the sum of its proper divisors (10929375).

13142205 is a wasteful number, since it uses less digits than its factorization.

13142205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13142205 is about 3625.2179244840. The cubic root of 13142205 is about 235.9877243926.

Adding to 13142205 its reverse (50224131), we get a palindrome (63366336).

The spelling of 13142205 in words is "thirteen million, one hundred forty-two thousand, two hundred five".