295953 has 16 divisors (see below), whose sum is σ = 478080. Its totient is φ = 158976.

The previous prime is 295951. The next prime is 295961. The reversal of 295953 is 359592.

295953 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 295953 - 2¹ = 295951 is a prime.

295953 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 295953.

It is not an unprimeable number, because it can be changed into a prime (295951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (29880).

2²⁹⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

295953 is a deficient number, since it is larger than the sum of its proper divisors (182127).

295953 is a wasteful number, since it uses less digits than its factorization.

295953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856.

The product of its digits is 12150, while the sum is 33.

The square root of 295953 is about 544.0156247756. The cubic root of 295953 is about 66.6409094942.

The spelling of 295953 in words is "two hundred ninety-five thousand, nine hundred fifty-three".