3953 has 4 divisors (see below), whose sum is σ = 4080. Its totient is φ = 3828.

The previous prime is 3947. The next prime is 3967. The reversal of 3953 is 3593.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 3953 - 2⁶ = 3889 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3923) 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, 26 + ... + 92.

It is an arithmetic number, because the mean of its divisors is an integer number (1020).

2³⁹⁵³ is an apocalyptic number.

It is an amenable number.

3953 is a deficient number, since it is larger than the sum of its proper divisors (127).

3953 is an equidigital number, since it uses as much as digits as its factorization.

3953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126.

The product of its digits is 405, while the sum is 20.

The square root of 3953 is about 62.8728876385. The cubic root of 3953 is about 15.8115921979.

The spelling of 3953 in words is "three thousand, nine hundred fifty-three".