867008025 has 81 divisors (see below), whose sum is σ = 1692760797. Its totient is φ = 424008000.

The previous prime is 867008003. The next prime is 867008029. The reversal of 867008025 is 520800768.

The square root of 867008025 is 29445.

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

It can be written as a sum of positive squares in 4 ways, for example, as 223472601 + 643535424 = 14949^2 + 25368^2 .

It is not a de Polignac number, because 867008025 - 2⁵ = 867007993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (867008029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5741700 + ... + 5741850.

Almost surely, 2^867008025 is an apocalyptic number.

867008025 is the 29445-th square number.

867008025 is the 14723-rd centered octagonal number.

It is an amenable number.

867008025 is a deficient number, since it is larger than the sum of its proper divisors (825752772).

867008025 is a wasteful number, since it uses less digits than its factorization.

867008025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The cubic root of 867008025 is about 953.5446615989.

Multiplying 867008025 by its sum of digits (36), we get a square (31212288900 = 176670²).

The spelling of 867008025 in words is "eight hundred sixty-seven million, eight thousand, twenty-five".