813953 has 4 divisors (see below), whose sum is σ = 930240. Its totient is φ = 697668.

The previous prime is 813931. The next prime is 813961. The reversal of 813953 is 359318.

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 an emirpimes, since its reverse is a distinct semiprime: 359318 = 2 ⋅179659.

It is a cyclic number.

It is not a de Polignac number, because 813953 - 2⁸ = 813697 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (815953) 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, 58133 + ... + 58146.

It is an arithmetic number, because the mean of its divisors is an integer number (232560).

2⁸¹³⁹⁵³ is an apocalyptic number.

It is an amenable number.

813953 is a deficient number, since it is larger than the sum of its proper divisors (116287).

813953 is a wasteful number, since it uses less digits than its factorization.

813953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116286.

The product of its digits is 3240, while the sum is 29.

The square root of 813953 is about 902.1934382382. The cubic root of 813953 is about 93.3683697825.

It can be divided in two parts, 8139 and 53, that added together give a 13-th power (8192 = 2¹³).

The spelling of 813953 in words is "eight hundred thirteen thousand, nine hundred fifty-three".