75953 has 4 divisors (see below), whose sum is σ = 76608. Its totient is φ = 75300.

The previous prime is 75941. The next prime is 75967. The reversal of 75953 is 35957.

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, and also an emirpimes, since its reverse is a distinct semiprime: 35957 = 41 ⋅877.

It is a cyclic number.

It is not a de Polignac number, because 75953 - 2⁴ = 75937 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75953.

It is not an unprimeable number, because it can be changed into a prime (75913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101 + ... + 402.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2⁷⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

75953 is a deficient number, since it is larger than the sum of its proper divisors (655).

75953 is a wasteful number, since it uses less digits than its factorization.

75953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654.

The product of its digits is 4725, while the sum is 29.

The square root of 75953 is about 275.5957183993. The cubic root of 75953 is about 42.3495023004.

The spelling of 75953 in words is "seventy-five thousand, nine hundred fifty-three".