95953 has 12 divisors (see below), whose sum is σ = 115444. Its totient is φ = 79200.

The previous prime is 95947. The next prime is 95957. The reversal of 95953 is 35959.

95953 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 88209 = 88^2 + 297^2 .

It is not a de Polignac number, because 95953 - 2⁹ = 95441 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1543 + ... + 1603.

2⁹⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

95953 is a deficient number, since it is larger than the sum of its proper divisors (19491).

95953 is a wasteful number, since it uses less digits than its factorization.

95953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 85 counting only the distinct ones).

The product of its digits is 6075, while the sum is 31.

The square root of 95953 is about 309.7628124872. The cubic root of 95953 is about 45.7810960421.

The spelling of 95953 in words is "ninety-five thousand, nine hundred fifty-three".