953953 has 16 divisors (see below), whose sum is σ = 1282176. Its totient is φ = 685440.

The previous prime is 953941. The next prime is 953969. The reversal of 953953 is 359359.

It is a happy number.

953953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 953953 - 2¹⁷ = 822881 is a prime.

953953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (953923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525 + ... + 1477.

It is an arithmetic number, because the mean of its divisors is an integer number (80136).

2⁹⁵³⁹⁵³ is an apocalyptic number.

It is an amenable number.

953953 is a deficient number, since it is larger than the sum of its proper divisors (328223).

953953 is a wasteful number, since it uses less digits than its factorization.

953953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984.

The product of its digits is 18225, while the sum is 34.

The square root of 953953 is about 976.7051755776. The cubic root of 953953 is about 98.4409189877.

The spelling of 953953 in words is "nine hundred fifty-three thousand, nine hundred fifty-three".