173953 has 4 divisors (see below), whose sum is σ = 187348. Its totient is φ = 160560.

The previous prime is 173933. The next prime is 173969. The reversal of 173953 is 359371.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 359371 = 79 ⋅4549.

It can be written as a sum of positive squares in 2 ways, for example, as 23409 + 150544 = 153^2 + 388^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-173953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (173923) 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, 6678 + ... + 6703.

It is an arithmetic number, because the mean of its divisors is an integer number (46837).

2¹⁷³⁹⁵³ is an apocalyptic number.

173953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

173953 is a deficient number, since it is larger than the sum of its proper divisors (13395).

173953 is a wasteful number, since it uses less digits than its factorization.

173953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13394.

The product of its digits is 2835, while the sum is 28.

The square root of 173953 is about 417.0767315495. The cubic root of 173953 is about 55.8226746318.

The spelling of 173953 in words is "one hundred seventy-three thousand, nine hundred fifty-three".