810901 has 24 divisors (see below), whose sum is σ = 1085280. Its totient is φ = 598752.

The previous prime is 810893. The next prime is 810907. The reversal of 810901 is 109018.

810901 is a nontrivial binomial coefficient, being equal to C(1274, 2).

It is not a de Polignac number, because 810901 - 2³ = 810893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an alternating number because its digits alternate between even and odd.

It is the 901-st Hogben number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810907) by changing a digit.

It is a nontrivial repunit in base 900.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12070 + ... + 12136.

It is an arithmetic number, because the mean of its divisors is an integer number (45220).

2⁸¹⁰⁹⁰¹ is an apocalyptic number.

810901 is the 1273-rd triangular number and also the 637-th hexagonal number.

810901 is the 425-th centered nonagonal number.

It is an amenable number.

810901 is a deficient number, since it is larger than the sum of its proper divisors (274379).

810901 is a wasteful number, since it uses less digits than its factorization.

810901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 810901 is about 900.5004164352. The cubic root of 810901 is about 93.2515255376.

Adding to 810901 its reverse (109018), we get a palindrome (919919).

It can be divided in two parts, 810 and 901, that added together give a triangular number (1711 = T₅₈).

The spelling of 810901 in words is "eight hundred ten thousand, nine hundred one".