13605953 has 2 divisors, whose sum is σ = 13605954. Its totient is φ = 13605952.

The previous prime is 13605929. The next prime is 13605961. The reversal of 13605953 is 35950631.

13605953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13017664 + 588289 = 3608^2 + 767^2 .

It is a cyclic number.

It is not a de Polignac number, because 13605953 - 2¹⁸ = 13343809 is a prime.

It is not a weakly prime, because it can be changed into another prime (13605923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6802976 + 6802977.

It is an arithmetic number, because the mean of its divisors is an integer number (6802977).

Almost surely, 2^13605953 is an apocalyptic number.

It is an amenable number.

13605953 is a deficient number, since it is larger than the sum of its proper divisors (1).

13605953 is an equidigital number, since it uses as much as digits as its factorization.

13605953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12150, while the sum is 32.

The square root of 13605953 is about 3688.6248114982. The cubic root of 13605953 is about 238.7314607828.

It can be divided in two parts, 136059 and 53, that multiplied together give a palindrome (7211127).

The spelling of 13605953 in words is "thirteen million, six hundred five thousand, nine hundred fifty-three".