811461 has 16 divisors (see below), whose sum is σ = 1309824. Its totient is φ = 436224.

The previous prime is 811457. The next prime is 811469. The reversal of 811461 is 164118.

811461 = T₄₇₈ + T₄₇₉ + ... + T₄₈₄.

It is not a de Polignac number, because 811461 - 2² = 811457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811469) 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, 780 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (81864).

2⁸¹¹⁴⁶¹ is an apocalyptic number.

It is an amenable number.

811461 is a deficient number, since it is larger than the sum of its proper divisors (498363).

811461 is a wasteful number, since it uses less digits than its factorization.

811461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300.

The product of its digits is 192, while the sum is 21.

The square root of 811461 is about 900.8113009948. The cubic root of 811461 is about 93.2729867838.

Adding to 811461 its reverse (164118), we get a palindrome (975579).

It can be divided in two parts, 81 and 1461, that multiplied together give a triangular number (118341 = T₄₈₆).

The spelling of 811461 in words is "eight hundred eleven thousand, four hundred sixty-one".