13420953 has 36 divisors (see below), whose sum is σ = 24295908. Its totient is φ = 7076160.

The previous prime is 13420949. The next prime is 13420961. The reversal of 13420953 is 35902431.

13420953 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 8277129 = 2268^2 + 2877^2 .

It is not a de Polignac number, because 13420953 - 2² = 13420949 is a prime.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13420943) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4563 + ... + 6903.

Almost surely, 2^13420953 is an apocalyptic number.

13420953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13420953 is a deficient number, since it is larger than the sum of its proper divisors (10874955).

13420953 is a wasteful number, since it uses less digits than its factorization.

13420953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 13420953 is about 3663.4618873410. The cubic root of 13420953 is about 237.6445096528.

The spelling of 13420953 in words is "thirteen million, four hundred twenty thousand, nine hundred fifty-three".