813153 has 16 divisors (see below), whose sum is σ = 1213632. Its totient is φ = 480000.

The previous prime is 813133. The next prime is 813157. The reversal of 813153 is 351318.

It is a happy number.

It is not a de Polignac number, because 813153 - 2⁵ = 813121 is a prime.

It is a super-2 number, since 2×813153² = 1322435602818, which contains 22 as substring.

813153 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (813157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053 + ... + 1653.

It is an arithmetic number, because the mean of its divisors is an integer number (75852).

2⁸¹³¹⁵³ is an apocalyptic number.

It is an amenable number.

813153 is a deficient number, since it is larger than the sum of its proper divisors (400479).

813153 is a wasteful number, since it uses less digits than its factorization.

813153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656.

The product of its digits is 360, while the sum is 21.

The square root of 813153 is about 901.7499653452. The cubic root of 813153 is about 93.3377704807.

It can be divided in two parts, 81315 and 3, that added together give a palindrome (81318).

The spelling of 813153 in words is "eight hundred thirteen thousand, one hundred fifty-three".