813054 has 32 divisors (see below), whose sum is σ = 1806336. Its totient is φ = 241920.

The previous prime is 813049. The next prime is 813061. The reversal of 813054 is 450318.

813054 = 37² + 38² + ... + 135².

It is a super-2 number, since 2×813054² = 1322113613832, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 813054.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 813054.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6339 + ... + 6465.

It is an arithmetic number, because the mean of its divisors is an integer number (56448).

2⁸¹³⁰⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903168).

813054 is an abundant number, since it is smaller than the sum of its proper divisors (993282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

813054 is a wasteful number, since it uses less digits than its factorization.

813054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 813054 is about 901.6950704091. The cubic root of 813054 is about 93.3339824218. Note that the first 3 decimals are identical.

The spelling of 813054 in words is "eight hundred thirteen thousand, fifty-four".