81577024 has 21 divisors (see below), whose sum is σ = 162022917. Its totient is φ = 40752384.

The previous prime is 81576997. The next prime is 81577037. The reversal of 81577024 is 42077518.

It is a happy number.

The square root of 81577024 is 9032.

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

It can be written as a sum of positive squares in only one way, i.e., 6927424 + 74649600 = 2632^2 + 8640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 71692 + ... + 72820.

It is an arithmetic number, because the mean of its divisors is an integer number (7715377).

Almost surely, 2^81577024 is an apocalyptic number.

81577024 is the 9032-nd square number.

It is an amenable number.

81577024 is a deficient number, since it is larger than the sum of its proper divisors (80445893).

81577024 is an frugal number, since it uses more digits than its factorization.

81577024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The cubic root of 81577024 is about 433.6998639823.

The spelling of 81577024 in words is "eighty-one million, five hundred seventy-seven thousand, twenty-four".