13953 has 4 divisors (see below), whose sum is σ = 18608. Its totient is φ = 9300.

The previous prime is 13933. The next prime is 13963. The reversal of 13953 is 35931.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 13953 - 2⁵ = 13921 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

13953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (13903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2323 + ... + 2328.

It is an arithmetic number, because the mean of its divisors is an integer number (4652).

It is a Proth number, since it is equal to 109 ⋅ 2⁷ + 1 and 109 < 2⁷.

2¹³⁹⁵³ is an apocalyptic number.

It is an amenable number.

13953 is a deficient number, since it is larger than the sum of its proper divisors (4655).

13953 is an equidigital number, since it uses as much as digits as its factorization.

13953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654.

The product of its digits is 405, while the sum is 21.

The square root of 13953 is about 118.1228174402. The cubic root of 13953 is about 24.0744217643.

The spelling of 13953 in words is "thirteen thousand, nine hundred fifty-three".