288626121 has 27 divisors (see below), whose sum is σ = 485570631. Its totient is φ = 164725344.

The previous prime is 288626113. The next prime is 288626123. The reversal of 288626121 is 121626882.

The square root of 288626121 is 16989.

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

288626121 is a `hidden beast` number, since 2 + 8 + 8 + 626 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 254051721 + 34574400 = 15939^2 + 5880^2 .

It is not a de Polignac number, because 288626121 - 2³ = 288626113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (288626123) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 356365 + ... + 357173.

Almost surely, 2^288626121 is an apocalyptic number.

288626121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

288626121 is the 16989-th square number.

288626121 is the 8495-th centered octagonal number.

It is an amenable number.

288626121 is a deficient number, since it is larger than the sum of its proper divisors (196944510).

288626121 is an frugal number, since it uses more digits than its factorization.

288626121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 819 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The cubic root of 288626121 is about 660.8636695929.

Multiplying 288626121 by its sum of digits (36), we get a square (10390540356 = 101934²).

The spelling of 288626121 in words is "two hundred eighty-eight million, six hundred twenty-six thousand, one hundred twenty-one".