1087813 has 8 divisors (see below), whose sum is σ = 1171800. Its totient is φ = 1006080.

The previous prime is 1087811. The next prime is 1087817. The reversal of 1087813 is 3187801.

1087813 = 737² + 738².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 228484 + 859329 = 478^2 + 927^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1087813 - 2¹ = 1087811 is a prime.

It is a Duffinian number.

1087813 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513 + ... + 1561.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

2^1087813 is an apocalyptic number.

1087813 is the 738-th centered square number.

It is an amenable number.

1087813 is a deficient number, since it is larger than the sum of its proper divisors (83987).

1087813 is a wasteful number, since it uses less digits than its factorization.

1087813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127.

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 1087813 is about 1042.9827419473. The cubic root of 1087813 is about 102.8453707684.

It can be divided in two parts, 108 and 7813, that added together give a square (7921 = 89²).

The spelling of 1087813 in words is "one million, eighty-seven thousand, eight hundred thirteen".