813988 has 18 divisors (see below), whose sum is σ = 1657446. Its totient is φ = 348768.

The previous prime is 813971. The next prime is 813991. The reversal of 813988 is 889318.

813988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 362404 = 672^2 + 602^2 .

It is an Ulam number.

It is a plaindrome in base 13 and base 15.

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1881 + ... + 2272.

2⁸¹³⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

813988 is an abundant number, since it is smaller than the sum of its proper divisors (843458).

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

813988 is a wasteful number, since it uses less digits than its factorization.

813988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171 (or 4162 counting only the distinct ones).

The product of its digits is 13824, while the sum is 37.

The square root of 813988 is about 902.2128352002. The cubic root of 813988 is about 93.3697080441.

It can be divided in two parts, 81398 and 8, that added together give a triangular number (81406 = T₄₀₃).

The spelling of 813988 in words is "eight hundred thirteen thousand, nine hundred eighty-eight".