873557136 has 75 divisors (see below), whose sum is σ = 2531411113. Its totient is φ = 290831040.

The previous prime is 873557131. The next prime is 873557137. The reversal of 873557136 is 631755378.

The square root of 873557136 is 29556.

It is a perfect power (a square), and thus also a powerful number.

873557136 is a `hidden beast` number, since 8 + 73 + 5 + 571 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 238517136 + 635040000 = 15444^2 + 25200^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 873557091 and 873557100.

It is not an unprimeable number, because it can be changed into a prime (873557131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1063606 + ... + 1064426.

Almost surely, 2^873557136 is an apocalyptic number.

873557136 is the 29556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873557136

873557136 is an abundant number, since it is smaller than the sum of its proper divisors (1657853977).

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

873557136 is an frugal number, since it uses more digits than its factorization.

873557136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 826 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The cubic root of 873557136 is about 955.9395689000.

It can be divided in two parts, 873 and 557136, that added together give a square (558009 = 747²).

The spelling of 873557136 in words is "eight hundred seventy-three million, five hundred fifty-seven thousand, one hundred thirty-six".