190953 has 18 divisors (see below), whose sum is σ = 321594. Its totient is φ = 108864.

The previous prime is 190921. The next prime is 190979. The reversal of 190953 is 359091.

It can be written as a sum of positive squares in only one way, i.e., 127449 + 63504 = 357^2 + 252^2 .

It is not a de Polignac number, because 190953 - 2⁵ = 190921 is a prime.

It is a super-3 number, since 3×190953³ = 20888185333959531, which contains 333 as substring.

190953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (190913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225 + ... + 657.

2¹⁹⁰⁹⁵³ is an apocalyptic number.

It is an amenable number.

190953 is a deficient number, since it is larger than the sum of its proper divisors (130641).

190953 is a wasteful number, since it uses less digits than its factorization.

190953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 190953 is about 436.9816929804. The cubic root of 190953 is about 57.5849280588.

The spelling of 190953 in words is "one hundred ninety thousand, nine hundred fifty-three".